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122102122210212 = 223191289415465961
BaseRepresentation
bin11011110000110100011101…
…100111101110001110100100
3121000022211220211120200021110
4123300310131213232032210
5112001010121241211322
61111404535055145020
734501405262150424
oct3360643547561644
9530284824520243
10122102122210212
11359a6245879031
1211840261815170
135319247066a61
142221aba76c484
15e1b252d20c0c
hex6f0d1d9ee3a4

122102122210212 has 48 divisors (see below), whose sum is σ = 300132610948800. Its totient is φ = 38528651266560.

The previous prime is 122102122210181. The next prime is 122102122210247. The reversal of 122102122210212 is 212012221201221.

122102122210212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207439089 + ... + 208026872.

It is an arithmetic number, because the mean of its divisors is an integer number (6252762728100).

Almost surely, 2122102122210212 is an apocalyptic number.

122102122210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122102122210212 is an abundant number, since it is smaller than the sum of its proper divisors (178030488738588).

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

122102122210212 is a wasteful number, since it uses less digits than its factorization.

122102122210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415467276 (or 415467274 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122102122210212 its reverse (212012221201221), we get a palindrome (334114343411433).

The spelling of 122102122210212 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty-two million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 1289 2578 3867 5156 7734 15468 24491 48982 73473 97964 146946 293892 415465961 830931922 1246397883 1661863844 2492795766 4985591532 7893853259 15787706518 23681559777 31575413036 47363119554 94726239108 535535623729 1071071247458 1606606871187 2142142494916 3213213742374 6426427484748 10175176850851 20350353701702 30525530552553 40700707403404 61051061105106 122102122210212