122353560 has 192 divisors, whose sum is σ = 474439680. Its totient is φ = 26737920.

The previous prime is 122353547. The next prime is 122353571. The reversal of 122353560 is 65353221.

122353560 is a `hidden beast` number, since 122 + 3 + 535 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56905 + ... + 59015.

It is an arithmetic number, because the mean of its divisors is an integer number (2471040).

Almost surely, 2^122353560 is an apocalyptic number.

122353560 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 122353560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237219840).

122353560 is an abundant number, since it is smaller than the sum of its proper divisors (352086120).

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

122353560 is a wasteful number, since it uses less digits than its factorization.

122353560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 122353560 is about 11061.3543474567. The cubic root of 122353560 is about 496.4462143919.

The spelling of 122353560 in words is "one hundred twenty-two million, three hundred fifty-three thousand, five hundred sixty".