121631580 has 144 divisors (see below), whose sum is σ = 433218240. Its totient is φ = 27039744.

The previous prime is 121631579. The next prime is 121631581. The reversal of 121631580 is 85136121.

121631580 is a `hidden beast` number, since 1 + 21 + 63 + 1 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (121631579) and next prime (121631581).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121631581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45316 + ... + 47924.

It is an arithmetic number, because the mean of its divisors is an integer number (3008460).

Almost surely, 2^121631580 is an apocalyptic number.

121631580 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 121631580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216609120).

121631580 is an abundant number, since it is smaller than the sum of its proper divisors (311586660).

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

121631580 is a wasteful number, since it uses less digits than its factorization.

121631580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 121631580 is about 11028.6708174648. The cubic root of 121631580 is about 495.4678160767.

The spelling of 121631580 in words is "one hundred twenty-one million, six hundred thirty-one thousand, five hundred eighty".