122615040 has 144 divisors (see below), whose sum is σ = 402651648. Its totient is φ = 31776768.

The previous prime is 122615029. The next prime is 122615041. The reversal of 122615040 is 40516221.

It is a junction number, because it is equal to n+sod(n) for n = 122614998 and 122615016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122615041) 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 15 ways as a sum of consecutive naturals, for example, 141649 + ... + 142511.

It is an arithmetic number, because the mean of its divisors is an integer number (2796192).

Almost surely, 2^122615040 is an apocalyptic number.

122615040 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 122615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201325824).

122615040 is an abundant number, since it is smaller than the sum of its proper divisors (280036608).

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

122615040 is an equidigital number, since it uses as much as digits as its factorization.

122615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 122615040 is about 11073.1675684964. The cubic root of 122615040 is about 496.7996120741.

The spelling of 122615040 in words is "one hundred twenty-two million, six hundred fifteen thousand, forty".