121536500 has 24 divisors (see below), whose sum is σ = 265436808. Its totient is φ = 48614400.

The previous prime is 121536497. The next prime is 121536509. The reversal of 121536500 is 5635121.

It can be written as a sum of positive squares in 4 ways, for example, as 7772944 + 113763556 = 2788^2 + 10666^2 .

It is a super-2 number, since 2×121536500² = 29542241664500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121536509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121037 + ... + 122036.

It is an arithmetic number, because the mean of its divisors is an integer number (11059867).

Almost surely, 2^121536500 is an apocalyptic number.

121536500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121536500 is an abundant number, since it is smaller than the sum of its proper divisors (143900308).

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

121536500 is a wasteful number, since it uses less digits than its factorization.

121536500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243092 (or 243080 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 121536500 is about 11024.3593918196. The cubic root of 121536500 is about 495.3386792182.

The spelling of 121536500 in words is "one hundred twenty-one million, five hundred thirty-six thousand, five hundred".