122518032 has 120 divisors (see below), whose sum is σ = 396599616. Its totient is φ = 32304384.

The previous prime is 122518021. The next prime is 122518037. The reversal of 122518032 is 230815221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122517993 and 122518011.

It is not an unprimeable number, because it can be changed into a prime (122518037) 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 23 ways as a sum of consecutive naturals, for example, 28573 + ... + 32579.

Almost surely, 2^122518032 is an apocalyptic number.

122518032 is a gapful number since it is divisible by the number (12) 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 122518032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198299808).

122518032 is an abundant number, since it is smaller than the sum of its proper divisors (274081584).

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

122518032 is a wasteful number, since it uses less digits than its factorization.

122518032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 122518032 is about 11068.7863833394. The cubic root of 122518032 is about 496.6685616692.

The spelling of 122518032 in words is "one hundred twenty-two million, five hundred eighteen thousand, thirty-two".