122970180 has 96 divisors (see below), whose sum is σ = 376427520. Its totient is φ = 29859840.

The previous prime is 122970157. The next prime is 122970181. The reversal of 122970180 is 81079221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (122970181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29676 + ... + 33564.

It is an arithmetic number, because the mean of its divisors is an integer number (3921120).

Almost surely, 2^122970180 is an apocalyptic number.

122970180 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 122970180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188213760).

122970180 is an abundant number, since it is smaller than the sum of its proper divisors (253457340).

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

122970180 is a wasteful number, since it uses less digits than its factorization.

122970180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 122970180 is about 11089.1920354911. The cubic root of 122970180 is about 497.2787902355.

The spelling of 122970180 in words is "one hundred twenty-two million, nine hundred seventy thousand, one hundred eighty".