122429952 has 90 divisors (see below), whose sum is σ = 355522167. Its totient is φ = 40559616.

The previous prime is 122429933. The next prime is 122429959. The reversal of 122429952 is 259924221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 61214976 + 61214976 = 7824^2 + 7824^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7824.

It is a super-4 number, since 4×122429952⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122429959) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 751023 + ... + 751185.

Almost surely, 2^122429952 is an apocalyptic number.

122429952 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 122429952

122429952 is an abundant number, since it is smaller than the sum of its proper divisors (233092215).

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

122429952 is an frugal number, since it uses more digits than its factorization.

122429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 168 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 122429952 is about 11064.8069120071. The cubic root of 122429952 is about 496.5495123784.

The spelling of 122429952 in words is "one hundred twenty-two million, four hundred twenty-nine thousand, nine hundred fifty-two".