122186880 has 160 divisors (see below), whose sum is σ = 436536540. Its totient is φ = 32569344.

The previous prime is 122186861. The next prime is 122186881. The reversal of 122186880 is 88681221.

It can be written as a sum of positive squares in 2 ways, for example, as 115089984 + 7096896 = 10728^2 + 2664^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (122186881) 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, 50662 + ... + 53018.

Almost surely, 2^122186880 is an apocalyptic number.

122186880 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 122186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218268270).

122186880 is an abundant number, since it is smaller than the sum of its proper divisors (314349660).

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

122186880 is an equidigital number, since it uses as much as digits as its factorization.

122186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 122186880 is about 11053.8174401426. The cubic root of 122186880 is about 496.2206787702.

The spelling of 122186880 in words is "one hundred twenty-two million, one hundred eighty-six thousand, eight hundred eighty".