121237920 has 144 divisors (see below), whose sum is σ = 421031520. Its totient is φ = 31759872.

The previous prime is 121237913. The next prime is 121237969. The reversal of 121237920 is 29732121.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84247 + ... + 85673.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^121237920 is an apocalyptic number.

121237920 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 121237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210515760).

121237920 is an abundant number, since it is smaller than the sum of its proper divisors (299793600).

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

121237920 is a wasteful number, since it uses less digits than its factorization.

121237920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 121237920 is about 11010.8092345658. The cubic root of 121237920 is about 494.9327120045.

The spelling of 121237920 in words is "one hundred twenty-one million, two hundred thirty-seven thousand, nine hundred twenty".