122952967200 has 1152 divisors, whose sum is σ = 540765388800. Its totient is φ = 26336378880.

The previous prime is 122952967199. The next prime is 122952967201. The reversal of 122952967200 is 2769259221.

122952967200 is a `hidden beast` number, since 1 + 2 + 295 + 296 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122952967199) and next prime (122952967201).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (122952967201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 364845432 + ... + 364845768.

It is an arithmetic number, because the mean of its divisors is an integer number (469414400).

Almost surely, 2^122952967200 is an apocalyptic number.

122952967200 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 122952967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270382694400).

122952967200 is an abundant number, since it is smaller than the sum of its proper divisors (417812421600).

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

122952967200 is a wasteful number, since it uses less digits than its factorization.

122952967200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 122952967200 in words is "one hundred twenty-two billion, nine hundred fifty-two million, nine hundred sixty-seven thousand, two hundred".