121701924900 has 180 divisors, whose sum is σ = 408114126420. Its totient is φ = 31334688000.

The previous prime is 121701924829. The next prime is 121701924901. The reversal of 121701924900 is 9429107121.

121701924900 is a `hidden beast` number, since 12 + 1 + 70 + 1 + 92 + 490 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9514441764 + 112187483136 = 97542^2 + 334944^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×121701924900² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121701924901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24151 + ... + 493950.

Almost surely, 2^121701924900 is an apocalyptic number.

121701924900 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 121701924900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204057063210).

121701924900 is an abundant number, since it is smaller than the sum of its proper divisors (286412201520).

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

121701924900 is a wasteful number, since it uses less digits than its factorization.

121701924900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518156 (or 518140 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 121701924900 in words is "one hundred twenty-one billion, seven hundred one million, nine hundred twenty-four thousand, nine hundred".