122945256000 has 1792 divisors, whose sum is σ = 553442672640. Its totient is φ = 26127360000.

The previous prime is 122945255981. The next prime is 122945256013. The reversal of 122945256000 is 652549221.

122945256000 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 45 + 2 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2015495970 + ... + 2015496030.

Almost surely, 2^122945256000 is an apocalyptic number.

122945256000 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 122945256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276721336320).

122945256000 is an abundant number, since it is smaller than the sum of its proper divisors (430497416640).

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

122945256000 is a wasteful number, since it uses less digits than its factorization.

122945256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 122945256000 in words is "one hundred twenty-two billion, nine hundred forty-five million, two hundred fifty-six thousand".