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122201110110120 = 23356748671508953
BaseRepresentation
bin11011110010010000101001…
…110000100101111110101000
3121000200022102110210000012120
4123302100221300211332220
5112004120333142010440
61111522225345311240
734511511266340666
oct3362205160457650
9530608373700176
10122201110110120
1135a34221976378
1211857488635520
135325690c908b2
1422267cb211c36
15e1dae8288dd0
hex6f2429c25fa8

122201110110120 has 64 divisors (see below), whose sum is σ = 366604116505920. Its totient is φ = 32586892813824.

The previous prime is 122201110110119. The next prime is 122201110110127. The reversal of 122201110110120 is 21011011102221.

It is a happy number.

It is a super-2 number, since 2×1222011101101202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122201110110120.

It is not an unprimeable number, because it can be changed into a prime (122201110110127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80229564 + ... + 81738516.

It is an arithmetic number, because the mean of its divisors is an integer number (5728189320405).

Almost surely, 2122201110110120 is an apocalyptic number.

122201110110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201110110120 is an abundant number, since it is smaller than the sum of its proper divisors (244403006395800).

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

122201110110120 is a wasteful number, since it uses less digits than its factorization.

122201110110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183834 (or 2183830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122201110110120 its reverse (21011011102221), we get a palindrome (143212121212341).

The spelling of 122201110110120 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 674867 1349734 1508953 2024601 2699468 3017906 3374335 4049202 4526859 5398936 6035812 6748670 7544765 8098404 9053718 10123005 12071624 13497340 15089530 16196808 18107436 20246010 22634295 26994680 30179060 36214872 40492020 45268590 60358120 80984040 90537180 181074360 1018342584251 2036685168502 3055027752753 4073370337004 5091712921255 6110055505506 8146740674008 10183425842510 12220111011012 15275138763765 20366851685020 24440222022024 30550277527530 40733703370040 61100555055060 122201110110120