121971584 has 48 divisors (see below), whose sum is σ = 282676680. Its totient is φ = 52270848.

The previous prime is 121971581. The next prime is 121971589. The reversal of 121971584 is 485179121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121971581) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3452 + ... + 15995.

Almost surely, 2^121971584 is an apocalyptic number.

121971584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121971584 is an abundant number, since it is smaller than the sum of its proper divisors (160705096).

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

121971584 is an equidigital number, since it uses as much as digits as its factorization.

121971584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19475 (or 19456 counting only the distinct ones).

The product of its digits is 20160, while the sum is 38.

The square root of 121971584 is about 11044.0746103963. The cubic root of 121971584 is about 495.9290567976.

The spelling of 121971584 in words is "one hundred twenty-one million, nine hundred seventy-one thousand, five hundred eighty-four".