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20122201021122 = 2331927770802461
BaseRepresentation
bin1001001001101000100001…
…01001001101101011000010
32122020122220210020120112000
410210310100221031223002
510114140231430133442
6110444002254044430
74144531620405324
oct444642051155302
978218823216460
1020122201021122
116458860989982
12230b9984a9716
13b2c691499465
144d7cc3a29614
1524d6581aad4c
hex124d10a4dac2

20122201021122 has 64 divisors (see below), whose sum is σ = 47239402646400. Its totient is φ = 6331439183040.

The previous prime is 20122201021063. The next prime is 20122201021127. The reversal of 20122201021122 is 22112010222102.

It is a happy number.

20122201021122 is a `hidden beast` number, since 201 + 2 + 220 + 10 + 211 + 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 = 20122201021095 and 20122201021104.

It is not an unprimeable number, because it can be changed into a prime (20122201021127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35117029 + ... + 35685432.

It is an arithmetic number, because the mean of its divisors is an integer number (738115666350).

Almost surely, 220122201021122 is an apocalyptic number.

20122201021122 is an abundant number, since it is smaller than the sum of its proper divisors (27117201625278).

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

20122201021122 is a wasteful number, since it uses less digits than its factorization.

20122201021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70802768 (or 70802762 counting only the distinct ones).

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

Adding to 20122201021122 its reverse (22112010222102), we get a palindrome (42234211243224).

The spelling of 20122201021122 in words is "twenty trillion, one hundred twenty-two billion, two hundred one million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 277 342 513 554 831 1026 1662 2493 4986 5263 7479 10526 14958 15789 31578 47367 94734 142101 284202 70802461 141604922 212407383 424814766 637222149 1274444298 1345246759 1911666447 2690493518 3823332894 4035740277 8071480554 12107220831 19612281697 24214441662 36321662493 39224563394 58836845091 72643324986 117673690182 176510535273 353021070546 372633352243 529531605819 745266704486 1059063211638 1117900056729 2235800113458 3353700170187 6707400340374 10061100510561 20122201021122