121964225400 has 576 divisors, whose sum is σ = 445616121600. Its totient is φ = 29779476480.

The previous prime is 121964225389. The next prime is 121964225413. The reversal of 121964225400 is 4522469121.

It is a happy number.

121964225400 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 642 + 2 + 5 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 254622361 + ... + 254622839.

It is an arithmetic number, because the mean of its divisors is an integer number (773639100).

Almost surely, 2^121964225400 is an apocalyptic number.

121964225400 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 121964225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222808060800).

121964225400 is an abundant number, since it is smaller than the sum of its proper divisors (323651896200).

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

121964225400 is a wasteful number, since it uses less digits than its factorization.

121964225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 121964225400 in words is "one hundred twenty-one billion, nine hundred sixty-four million, two hundred twenty-five thousand, four hundred".