122729952 has 24 divisors (see below), whose sum is σ = 322166376. Its totient is φ = 40909952.

The previous prime is 122729951. The next prime is 122729977. The reversal of 122729952 is 259927221.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×122729952² = 30125282235844608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122729952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122729951) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 639123 + ... + 639314.

It is an arithmetic number, because the mean of its divisors is an integer number (13423599).

Almost surely, 2^122729952 is an apocalyptic number.

122729952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122729952 is an abundant number, since it is smaller than the sum of its proper divisors (199436424).

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

122729952 is a wasteful number, since it uses less digits than its factorization.

122729952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278450 (or 1278442 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 122729952 is about 11078.3551125607. The cubic root of 122729952 is about 496.9547600135.

The spelling of 122729952 in words is "one hundred twenty-two million, seven hundred twenty-nine thousand, nine hundred fifty-two".