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122102001120012 = 22321180234804087
BaseRepresentation
bin11011110000110100010110…
…011001110011001100001100
3121000022211121101201122202020
4123300310112121303030030
5112001004344241320022
61111404515051530140
734501402261665654
oct3360642631631414
9530284541648666
10122102001120012
11359a6193492191
1211840229159950
135319227c4a854
142221aa864b364
15e1b2473a235c
hex6f0d1667330c

122102001120012 has 24 divisors (see below), whose sum is σ = 284904863099136. Its totient is φ = 40700639351568.

The previous prime is 122102001119999. The next prime is 122102001120089. The reversal of 122102001120012 is 210021100201221.

It is a super-2 number, since 2×1221020011200122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122102001119973 and 122102001120000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23014233 + ... + 27818319.

It is an arithmetic number, because the mean of its divisors is an integer number (11871035962464).

Almost surely, 2122102001120012 is an apocalyptic number.

122102001120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122102001120012 is an abundant number, since it is smaller than the sum of its proper divisors (162802861979124).

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

122102001120012 is a wasteful number, since it uses less digits than its factorization.

122102001120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922117 (or 6922115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122102001120012 its reverse (210021100201221), we get a palindrome (332123101321233).

The spelling of 122102001120012 in words is "one hundred twenty-two trillion, one hundred two billion, one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 2118023 4236046 4804087 6354069 8472092 9608174 12708138 14412261 19216348 25416276 28824522 57649044 10175166760001 20350333520002 30525500280003 40700667040004 61051000560006 122102001120012