122156320 has 192 divisors, whose sum is σ = 358162560. Its totient is φ = 38707200.

The previous prime is 122156303. The next prime is 122156341. The reversal of 122156320 is 23651221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122156291 and 122156300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434580 + ... + 434860.

It is an arithmetic number, because the mean of its divisors is an integer number (1865430).

Almost surely, 2^122156320 is an apocalyptic number.

122156320 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 122156320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179081280).

122156320 is an abundant number, since it is smaller than the sum of its proper divisors (236006240).

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

122156320 is a wasteful number, since it uses less digits than its factorization.

122156320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 122156320 is about 11052.4350258212. The cubic root of 122156320 is about 496.1793056201.

The spelling of 122156320 in words is "one hundred twenty-two million, one hundred fifty-six thousand, three hundred twenty".