122870912000 has 352 divisors, whose sum is σ = 321886656000. Its totient is φ = 46741094400.

The previous prime is 122870911993. The next prime is 122870912023. The reversal of 122870912000 is 219078221.

It is a happy number.

It is a super-2 number, since 2×122870912000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 293247791 + ... + 293248209.

Almost surely, 2^122870912000 is an apocalyptic number.

122870912000 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 122870912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160943328000).

122870912000 is an abundant number, since it is smaller than the sum of its proper divisors (199015744000).

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

122870912000 is an equidigital number, since it uses as much as digits as its factorization.

122870912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 122870912000 in words is "one hundred twenty-two billion, eight hundred seventy million, nine hundred twelve thousand".