122513824 has 48 divisors (see below), whose sum is σ = 264962880. Its totient is φ = 55503360.

The previous prime is 122513773. The next prime is 122513827. The reversal of 122513824 is 428315221.

It is a super-2 number, since 2×122513824² = 30019274142205952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122513792 and 122513801.

It is not an unprimeable number, because it can be changed into a prime (122513827) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9604 + ... + 18364.

It is an arithmetic number, because the mean of its divisors is an integer number (5520060).

Almost surely, 2^122513824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122513824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132481440).

122513824 is an abundant number, since it is smaller than the sum of its proper divisors (142449056).

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

122513824 is a wasteful number, since it uses less digits than its factorization.

122513824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8813 (or 8805 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 122513824 is about 11068.5962976341. The cubic root of 122513824 is about 496.6628754171.

The spelling of 122513824 in words is "one hundred twenty-two million, five hundred thirteen thousand, eight hundred twenty-four".