122979840 has 160 divisors (see below), whose sum is σ = 400688640. Its totient is φ = 32169984.

The previous prime is 122979839. The next prime is 122979847. The reversal of 122979840 is 48979221.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 122979792 and 122979801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122979847) 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, 514441 + ... + 514679.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304).

Almost surely, 2^122979840 is an apocalyptic number.

122979840 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 122979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200344320).

122979840 is an abundant number, since it is smaller than the sum of its proper divisors (277708800).

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

122979840 is an equidigital number, since it uses as much as digits as its factorization.

122979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 122979840 is about 11089.6275861726. The cubic root of 122979840 is about 497.2918112442.

The spelling of 122979840 in words is "one hundred twenty-two million, nine hundred seventy-nine thousand, eight hundred forty".