121536000 has 240 divisors, whose sum is σ = 439824528. Its totient is φ = 32256000.

The previous prime is 121535993. The next prime is 121536007. The reversal of 121536000 is 635121.

121536000 is a `hidden beast` number, since 12 + 1 + 53 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121535993) and next prime (121536007).

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 (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121536007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575895 + ... + 576105.

Almost surely, 2^121536000 is an apocalyptic number.

121536000 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 121536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219912264).

121536000 is an abundant number, since it is smaller than the sum of its proper divisors (318288528).

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

121536000 is an equidigital number, since it uses as much as digits as its factorization.

121536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 121536000 is about 11024.3367147416. The cubic root of 121536000 is about 495.3379999444.

The spelling of 121536000 in words is "one hundred twenty-one million, five hundred thirty-six thousand".