122615920 has 80 divisors (see below), whose sum is σ = 327264768. Its totient is φ = 41852160.

The previous prime is 122615887. The next prime is 122615929. The reversal of 122615920 is 29516221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122615929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194005 + ... + 194635.

Almost surely, 2^122615920 is an apocalyptic number.

122615920 is a gapful number since it is divisible by the number (10) 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 122615920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163632384).

122615920 is an abundant number, since it is smaller than the sum of its proper divisors (204648848).

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

122615920 is a wasteful number, since it uses less digits than its factorization.

122615920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 122615920 is about 11073.2073041193. The cubic root of 122615920 is about 496.8008005706.

It can be divided in two parts, 12261 and 5920, that added together give a palindrome (18181).

The spelling of 122615920 in words is "one hundred twenty-two million, six hundred fifteen thousand, nine hundred twenty".