122960000 has 160 divisors (see below), whose sum is σ = 322631100. Its totient is φ = 46592000.

The previous prime is 122959961. The next prime is 122960009. The reversal of 122960000 is 69221.

It can be written as a sum of positive squares in 10 ways, for example, as 3013696 + 119946304 = 1736^2 + 10952^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (122960009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2319974 + ... + 2320026.

Almost surely, 2^122960000 is an apocalyptic number.

122960000 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 122960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161315550).

122960000 is an abundant number, since it is smaller than the sum of its proper divisors (199671100).

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

122960000 is an frugal number, since it uses more digits than its factorization.

122960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 122960000 is about 11088.7330205033. The cubic root of 122960000 is about 497.2650675650.

The spelling of 122960000 in words is "one hundred twenty-two million, nine hundred sixty thousand".