122012827200 has 1008 divisors, whose sum is σ = 501871878144. Its totient is φ = 28901836800.

The previous prime is 122012827151. The next prime is 122012827207. The reversal of 122012827200 is 2728210221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122012827207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 201009297 + ... + 201009903.

It is an arithmetic number, because the mean of its divisors is an integer number (497888768).

Almost surely, 2^122012827200 is an apocalyptic number.

122012827200 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 122012827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250935939072).

122012827200 is an abundant number, since it is smaller than the sum of its proper divisors (379859050944).

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

122012827200 is a wasteful number, since it uses less digits than its factorization.

122012827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 122012827200 in words is "one hundred twenty-two billion, twelve million, eight hundred twenty-seven thousand, two hundred".