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122020012111104 = 283299753119433
BaseRepresentation
bin11011101111100111111111…
…011110100011010100000000
3121000000222222102221110110200
4123233213333132203110000
5111443133441100023404
61111303115242525200
734462440435630402
oct3357477736432400
9530028872843420
10122020012111104
113597443a866298
1211828367206800
13531158ca193b3
14221bb2b678b72
15e19049492839
hex6ef9ff7a3500

122020012111104 has 108 divisors (see below), whose sum is σ = 352166655261876. Its totient is φ = 40632540880896.

The previous prime is 122020012111099. The next prime is 122020012111117. The reversal of 122020012111104 is 401111210020221.

It can be written as a sum of positive squares in 2 ways, for example, as 117185994261504 + 4834017849600 = 10825248^2 + 2198640^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24262629 + ... + 28856804.

Almost surely, 2122020012111104 is an apocalyptic number.

It is an amenable number.

122020012111104 is an abundant number, since it is smaller than the sum of its proper divisors (230146643150772).

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

122020012111104 is an equidigital number, since it uses as much as digits as its factorization.

122020012111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53120452 (or 53120435 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122020012111104 its reverse (401111210020221), we get a palindrome (523131222131325).

The spelling of 122020012111104 in words is "one hundred twenty-two trillion, twenty billion, twelve million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 997 1152 1994 2304 2991 3988 5982 7976 8973 11964 15952 17946 23928 31904 35892 47856 63808 71784 95712 127616 143568 191424 255232 287136 382848 574272 765696 1148544 2297088 53119433 106238866 159358299 212477732 318716598 424955464 478074897 637433196 849910928 956149794 1274866392 1699821856 1912299588 2549732784 3399643712 3824599176 5099465568 6799287424 7649198352 10198931136 13598574848 15298396704 20397862272 30596793408 40795724544 52960074701 61193586816 105920149402 122387173632 158880224103 211840298804 317760448206 423680597608 476640672309 635520896412 847361195216 953281344618 1271041792824 1694722390432 1906562689236 2542083585648 3389444780864 3813125378472 5084167171296 6778889561728 7626250756944 10168334342592 13557779123456 15252501513888 20336668685184 30505003027776 40673337370368 61010006055552 122020012111104