122587920 has 240 divisors, whose sum is σ = 506967552. Its totient is φ = 25850880.

The previous prime is 122587903. The next prime is 122587931. The reversal of 122587920 is 29785221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64585 + ... + 66455.

Almost surely, 2^122587920 is an apocalyptic number.

122587920 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 122587920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253483776).

122587920 is an abundant number, since it is smaller than the sum of its proper divisors (384379632).

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

122587920 is a wasteful number, since it uses less digits than its factorization.

122587920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 122587920 is about 11071.9429189280. The cubic root of 122587920 is about 496.7629819866.

The spelling of 122587920 in words is "one hundred twenty-two million, five hundred eighty-seven thousand, nine hundred twenty".