122100088004400 has 720 divisors, whose sum is σ = 437639941112192. Its totient is φ = 29070926438400.

The previous prime is 122100088004383. The next prime is 122100088004413. The reversal of 122100088004400 is 4400880001221.

122100088004400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122100088004400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3278452179 + ... + 3278489421.

Almost surely, 2^{122100088004400} is an apocalyptic number.

122100088004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100088004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218819970556096).

122100088004400 is an abundant number, since it is smaller than the sum of its proper divisors (315539853107792).

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

122100088004400 is a wasteful number, since it uses less digits than its factorization.

122100088004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37690 (or 37668 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 122100088004400 in words is "one hundred twenty-two trillion, one hundred billion, eighty-eight million, four thousand, four hundred".