121324377600 has 720 divisors, whose sum is σ = 457361334144. Its totient is φ = 30670848000.

The previous prime is 121324377589. The next prime is 121324377613. The reversal of 121324377600 is 6773423121.

121324377600 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 2 + 43 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189273280 + ... + 189273920.

Almost surely, 2^121324377600 is an apocalyptic number.

121324377600 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 121324377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228680667072).

121324377600 is an abundant number, since it is smaller than the sum of its proper divisors (336036956544).

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

121324377600 is a wasteful number, since it uses less digits than its factorization.

121324377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 121324377600 in words is "one hundred twenty-one billion, three hundred twenty-four million, three hundred seventy-seven thousand, six hundred".