122400729 has 24 divisors (see below), whose sum is σ = 193752000. Its totient is φ = 73844640.

The previous prime is 122400727. The next prime is 122400763. The reversal of 122400729 is 927004221.

It is not a de Polignac number, because 122400729 - 2¹ = 122400727 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122400727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19972 + ... + 25370.

It is an arithmetic number, because the mean of its divisors is an integer number (8073000).

Almost surely, 2^122400729 is an apocalyptic number.

It is an amenable number.

122400729 is a deficient number, since it is larger than the sum of its proper divisors (71351271).

122400729 is a wasteful number, since it uses less digits than its factorization.

122400729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 122400729 is about 11063.4862950157. The cubic root of 122400729 is about 496.5100018370.

The spelling of 122400729 in words is "one hundred twenty-two million, four hundred thousand, seven hundred twenty-nine".