122372640 has 192 divisors, whose sum is σ = 461462400. Its totient is φ = 30108672.

The previous prime is 122372633. The next prime is 122372641. The reversal of 122372640 is 46273221.

122372640 is a `hidden beast` number, since 12 + 2 + 3 + 7 + 2 + 640 = 666.

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 (122372641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55071 + ... + 57249.

It is an arithmetic number, because the mean of its divisors is an integer number (2403450).

Almost surely, 2^122372640 is an apocalyptic number.

122372640 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 122372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230731200).

122372640 is an abundant number, since it is smaller than the sum of its proper divisors (339089760).

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

122372640 is a wasteful number, since it uses less digits than its factorization.

122372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 122372640 is about 11062.2167760354. The cubic root of 122372640 is about 496.4720185762.

The spelling of 122372640 in words is "one hundred twenty-two million, three hundred seventy-two thousand, six hundred forty".