122102010012000 has 192 divisors, whose sum is σ = 417397758994944. Its totient is φ = 31144860454400.

The previous prime is 122102010011923. The next prime is 122102010012067. The reversal of 122102010012000 is 210010201221.

122102010012000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122102010012000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220923294 + ... + 221475293.

It is an arithmetic number, because the mean of its divisors is an integer number (2173946661432).

Almost surely, 2^{122102010012000} is an apocalyptic number.

122102010012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102010012000 is an abundant number, since it is smaller than the sum of its proper divisors (295295748982944).

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

122102010012000 is a wasteful number, since it uses less digits than its factorization.

122102010012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442398638 (or 442398620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122102010012000 its reverse (210010201221), we get a palindrome (122312020213221).

The spelling of 122102010012000 in words is "one hundred twenty-two trillion, one hundred two billion, ten million, twelve thousand".