122827824 has 60 divisors (see below), whose sum is σ = 392857296. Its totient is φ = 35093376.

The previous prime is 122827813. The next prime is 122827853. The reversal of 122827824 is 428728221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59919 + ... + 61934.

Almost surely, 2^122827824 is an apocalyptic number.

122827824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122827824 is an abundant number, since it is smaller than the sum of its proper divisors (270029472).

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

122827824 is a wasteful number, since it uses less digits than its factorization.

122827824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121874 (or 121865 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 122827824 is about 11082.7714945315. The cubic root of 122827824 is about 497.0868251215.

The spelling of 122827824 in words is "one hundred twenty-two million, eight hundred twenty-seven thousand, eight hundred twenty-four".