122825640 has 64 divisors (see below), whose sum is σ = 421119360. Its totient is φ = 28074240.

The previous prime is 122825623. The next prime is 122825707. The reversal of 122825640 is 46528221.

It is a super-2 number, since 2×122825640² = 30172275682819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122825598 and 122825607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72271 + ... + 73950.

It is an arithmetic number, because the mean of its divisors is an integer number (6579990).

Almost surely, 2^122825640 is an apocalyptic number.

122825640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122825640 is an abundant number, since it is smaller than the sum of its proper divisors (298293720).

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

122825640 is a wasteful number, since it uses less digits than its factorization.

122825640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146242 (or 146238 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 122825640 is about 11082.6729627829. The cubic root of 122825640 is about 497.0838788725.

The spelling of 122825640 in words is "one hundred twenty-two million, eight hundred twenty-five thousand, six hundred forty".