122842944 has 84 divisors (see below), whose sum is σ = 402421344. Its totient is φ = 35096832.

The previous prime is 122842921. The next prime is 122842963. The reversal of 122842944 is 449248221.

122842944 is a `hidden beast` number, since 1 + 228 + 429 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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 a junction number, because it is equal to n+sod(n) for n = 122842899 and 122842908.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11202 + ... + 19265.

Almost surely, 2^122842944 is an apocalyptic number.

122842944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122842944 is an abundant number, since it is smaller than the sum of its proper divisors (279578400).

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

122842944 is a wasteful number, since it uses less digits than its factorization.

122842944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30492 (or 30479 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 122842944 is about 11083.4536133824. The cubic root of 122842944 is about 497.1072212721.

The spelling of 122842944 in words is "one hundred twenty-two million, eight hundred forty-two thousand, nine hundred forty-four".