9721250121600 has 960 divisors, whose sum is σ = 37127942945280. Its totient is φ = 2502130176000.

The previous prime is 9721250121581. The next prime is 9721250121607. The reversal of 9721250121600 is 61210521279.

9721250121600 is a `hidden beast` number, since 9 + 7 + 2 + 1 + 25 + 0 + 1 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9721250121607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3559592235 + ... + 3559594965.

It is an arithmetic number, because the mean of its divisors is an integer number (38674940568).

Almost surely, 2^{9721250121600} is an apocalyptic number.

9721250121600 is a gapful number since it is divisible by the number (90) 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 9721250121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18563971472640).

9721250121600 is an abundant number, since it is smaller than the sum of its proper divisors (27406692823680).

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

9721250121600 is a wasteful number, since it uses less digits than its factorization.

9721250121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 9721250121600 its reverse (61210521279), we get a palindrome (9782460642879).

The spelling of 9721250121600 in words is "nine trillion, seven hundred twenty-one billion, two hundred fifty million, one hundred twenty-one thousand, six hundred".