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1120221022122 = 235157138110631
BaseRepresentation
bin10000010011010010011…
…000000100011110101010
310222002111010111010100000
4100103102120010132222
5121323203040201442
62214342240123430
7143635056402546
oct20232230043652
93862433433300
101120221022122
113a20a0621224
12161133906576
13818371ba917
143c30cc84a26
151e215d29d4c
hex104d26047aa

1120221022122 has 96 divisors (see below), whose sum is σ = 2535144603264. Its totient is φ = 370725076800.

The previous prime is 1120221022079. The next prime is 1120221022163. The reversal of 1120221022122 is 2212201220211.

It is a happy number.

1120221022122 is a `hidden beast` number, since 11 + 202 + 210 + 221 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1120221022095 and 1120221022104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105367747 + ... + 105378377.

It is an arithmetic number, because the mean of its divisors is an integer number (26407756284).

Almost surely, 21120221022122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120221022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267572301632).

1120221022122 is an abundant number, since it is smaller than the sum of its proper divisors (1414923581142).

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

1120221022122 is a wasteful number, since it uses less digits than its factorization.

1120221022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12186 (or 12174 counting only the distinct ones).

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

Adding to 1120221022122 its reverse (2212201220211), we get a palindrome (3332422242333).

The spelling of 1120221022122 in words is "one trillion, one hundred twenty billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 243 314 471 486 942 1381 1413 2762 2826 4143 4239 8286 8478 10631 12429 12717 21262 24858 25434 31893 37287 38151 63786 74574 76302 95679 111861 191358 216817 223722 287037 335583 433634 574074 650451 671166 861111 1300902 1669067 1722222 1951353 2583333 3338134 3902706 5007201 5166666 5854059 10014402 11708118 14681411 15021603 17562177 29362822 30043206 35124354 44044233 45064809 52686531 88088466 90129618 105373062 132132699 135194427 264265398 270388854 396398097 405583281 792796194 811166562 1189194291 2304981527 2378388582 3567582873 4609963054 6914944581 7135165746 13829889162 20744833743 41489667486 62234501229 124469002458 186703503687 373407007374 560110511061 1120221022122