122319960 has 128 divisors (see below), whose sum is σ = 421908480. Its totient is φ = 27790848.

The previous prime is 122319943. The next prime is 122319973. The reversal of 122319960 is 69913221.

It is a super-2 number, since 2×122319960² = 29924345228803200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 186994 + ... + 187646.

It is an arithmetic number, because the mean of its divisors is an integer number (3296160).

Almost surely, 2^122319960 is an apocalyptic number.

122319960 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 122319960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210954240).

122319960 is an abundant number, since it is smaller than the sum of its proper divisors (299588520).

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

122319960 is a wasteful number, since it uses less digits than its factorization.

122319960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 122319960 is about 11059.8354418138. The cubic root of 122319960 is about 496.4007665386.

The spelling of 122319960 in words is "one hundred twenty-two million, three hundred nineteen thousand, nine hundred sixty".