122200093932192 has 384 divisors, whose sum is σ = 387638576640000. Its totient is φ = 37328121492480.

The previous prime is 122200093932167. The next prime is 122200093932193. The reversal of 122200093932192 is 291239390002221.

122200093932192 is a `hidden beast` number, since 1 + 2 + 2 + 200 + 0 + 9 + 39 + 321 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (122200093932193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60784309 + ... + 62762507.

It is an arithmetic number, because the mean of its divisors is an integer number (1009475460000).

Almost surely, 2^{122200093932192} is an apocalyptic number.

122200093932192 is a gapful number since it is divisible by the number (12) 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 122200093932192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193819288320000).

122200093932192 is an abundant number, since it is smaller than the sum of its proper divisors (265438482707808).

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

122200093932192 is a wasteful number, since it uses less digits than its factorization.

122200093932192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978361 (or 1978347 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 122200093932192 in words is "one hundred twenty-two trillion, two hundred billion, ninety-three million, nine hundred thirty-two thousand, one hundred ninety-two".