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1120022122212 = 22327191791306831
BaseRepresentation
bin10000010011000110100…
…001010100111011100100
310222001222021012221221200
4100103012201110323210
5121322301130402322
62214310413042500
7143630122646460
oct20230641247344
93861867187850
101120022122212
113a1aa931a834
12161099186430
1381804c2a276
143c2d06ab4a0
151e20363b8ac
hex104c6854ee4

1120022122212 has 144 divisors (see below), whose sum is σ = 3424945305600. Its totient is φ = 301469999040.

The previous prime is 1120022122211. The next prime is 1120022122213. The reversal of 1120022122212 is 2122212200211.

It is a happy number.

1120022122212 is a `hidden beast` number, since 11 + 200 + 221 + 22 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (1120022122211) and next prime (1120022122213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1120022122211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203637 + ... + 1510467.

It is an arithmetic number, because the mean of its divisors is an integer number (23784342400).

Almost surely, 21120022122212 is an apocalyptic number.

1120022122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120022122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712472652800).

1120022122212 is an abundant number, since it is smaller than the sum of its proper divisors (2304923183388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1120022122212 is a wasteful number, since it uses less digits than its factorization.

1120022122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307046 (or 1307041 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1120022122212 its reverse (2122212200211), we get a palindrome (3242234322423).

The spelling of 1120022122212 in words is "one trillion, one hundred twenty billion, twenty-two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 179 228 252 266 342 358 399 532 537 684 716 798 1074 1197 1253 1596 1611 2148 2394 2506 3222 3401 3759 4788 5012 6444 6802 7518 10203 11277 13604 15036 20406 22554 23807 30609 40812 45108 47614 61218 71421 95228 122436 142842 214263 285684 428526 857052 1306831 2613662 3920493 5227324 7840986 9147817 11761479 15681972 18295634 23522958 24829789 27443451 36591268 47045916 49659578 54886902 74489367 82330353 99319156 109773804 148978734 164660706 173808523 223468101 233922749 297957468 329321412 347617046 446936202 467845498 521425569 695234092 701768247 893872404 935690996 1042851138 1403536494 1564276707 1637459243 2085702276 2105304741 2807072988 3128553414 3274918486 4210609482 4444532231 4912377729 6257106828 6549836972 8421218964 8889064462 9824755458 13333596693 14737133187 17778128924 19649510916 26667193386 29474266374 31111725617 40000790079 53334386772 58948532748 62223451234 80001580158 93335176851 124446902468 160003160316 186670353702 280005530553 373340707404 560011061106 1120022122212