122729052 has 72 divisors (see below), whose sum is σ = 311656576. Its totient is φ = 37562112.

The previous prime is 122729021. The next prime is 122729119. The reversal of 122729052 is 250927221.

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 23 ways as a sum of consecutive naturals, for example, 148713 + ... + 149535.

Almost surely, 2^122729052 is an apocalyptic number.

122729052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122729052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155828288).

122729052 is an abundant number, since it is smaller than the sum of its proper divisors (188927524).

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

122729052 is a wasteful number, since it uses less digits than its factorization.

122729052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 122729052 is about 11078.3144927376. The cubic root of 122729052 is about 496.9535452588.

The spelling of 122729052 in words is "one hundred twenty-two million, seven hundred twenty-nine thousand, fifty-two".