122352408 has 48 divisors (see below), whose sum is σ = 337633920. Its totient is φ = 40013376.

The previous prime is 122352401. The next prime is 122352449. The reversal of 122352408 is 804253221.

It is a super-2 number, since 2×122352408² = 29940223486796928, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (122352401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12216 + ... + 19847.

It is an arithmetic number, because the mean of its divisors is an integer number (7034040).

Almost surely, 2^122352408 is an apocalyptic number.

122352408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122352408 is an abundant number, since it is smaller than the sum of its proper divisors (215281512).

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

122352408 is a wasteful number, since it uses less digits than its factorization.

122352408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32128 (or 32121 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 122352408 is about 11061.3022741448. The cubic root of 122352408 is about 496.4446563175. Note that the first 3 decimals are identical.

It can be divided in two parts, 122352 and 408, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 122352408 in words is "one hundred twenty-two million, three hundred fifty-two thousand, four hundred eight".