122829072 has 40 divisors (see below), whose sum is σ = 334011360. Its totient is φ = 38787840.

The previous prime is 122829067. The next prime is 122829073. The reversal of 122829072 is 270928221.

It is not an unprimeable number, because it can be changed into a prime (122829073) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 66429 + ... + 68252.

It is an arithmetic number, because the mean of its divisors is an integer number (8350284).

Almost surely, 2^122829072 is an apocalyptic number.

122829072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122829072 is an abundant number, since it is smaller than the sum of its proper divisors (211182288).

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

122829072 is a wasteful number, since it uses less digits than its factorization.

122829072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134711 (or 134705 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 122829072 is about 11082.8277979945. The cubic root of 122829072 is about 497.0885086767.

The spelling of 122829072 in words is "one hundred twenty-two million, eight hundred twenty-nine thousand, seventy-two".