121953600 has 210 divisors, whose sum is σ = 448747134. Its totient is φ = 32486400.

The previous prime is 121953599. The next prime is 121953607. The reversal of 121953600 is 6359121.

121953600 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 53 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11451456 + 110502144 = 3384^2 + 10512^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121953607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129130 + ... + 130070.

Almost surely, 2^121953600 is an apocalyptic number.

121953600 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 121953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224373567).

121953600 is an abundant number, since it is smaller than the sum of its proper divisors (326793534).

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

121953600 is an equidigital number, since it uses as much as digits as its factorization.

121953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 121953600 is about 11043.2603881281. The cubic root of 121953600 is about 495.9046816488.

The spelling of 121953600 in words is "one hundred twenty-one million, nine hundred fifty-three thousand, six hundred".