122520 has 32 divisors (see below), whose sum is σ = 367920. Its totient is φ = 32640.

The previous prime is 122509. The next prime is 122527. The reversal of 122520 is 25221.

122520 = T₁₇₁ + T₁₇₂ + ... + T₁₇₈.

It is a super-2 number, since 2×122520² = 30022300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122496 and 122505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391 + ... + 630.

2¹²²⁵²⁰ is an apocalyptic number.

122520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122520 is an abundant number, since it is smaller than the sum of its proper divisors (245400).

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

122520 is a wasteful number, since it uses less digits than its factorization.

122520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 122520 is about 350.0285702625. The cubic root of 122520 is about 49.6671220974.

Adding to 122520 its reverse (25221), we get a palindrome (147741).

The spelling of 122520 in words is "one hundred twenty-two thousand, five hundred twenty".