122972 has 12 divisors (see below), whose sum is σ = 218736. Its totient is φ = 60480.

The previous prime is 122971. The next prime is 123001. The reversal of 122972 is 279221.

It is a super-2 number, since 2×122972² = 30244225568, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2¹²²⁹⁷² is an apocalyptic number.

It is an amenable number.

122972 is a deficient number, since it is larger than the sum of its proper divisors (95764).

122972 is a wasteful number, since it uses less digits than its factorization.

122972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 122972 is about 350.6736374466. The cubic root of 122972 is about 49.7281243521.

It can be divided in two parts, 1229 and 72, that multiplied together give a palindrome (88488).

The spelling of 122972 in words is "one hundred twenty-two thousand, nine hundred seventy-two".