121621973760 has 432 divisors, whose sum is σ = 483052175424. Its totient is φ = 27675721728.

The previous prime is 121621973729. The next prime is 121621973761. The reversal of 121621973760 is 67379126121.

121621973760 is a `hidden beast` number, since 12 + 1 + 621 + 9 + 7 + 3 + 7 + 6 + 0 = 666.

121621973760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (121621973761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18785884 + ... + 18792356.

It is an arithmetic number, because the mean of its divisors is an integer number (1118176332).

Almost surely, 2^121621973760 is an apocalyptic number.

121621973760 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 121621973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241526087712).

121621973760 is an abundant number, since it is smaller than the sum of its proper divisors (361430201664).

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

121621973760 is a wasteful number, since it uses less digits than its factorization.

121621973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 121621973760 in words is "one hundred twenty-one billion, six hundred twenty-one million, nine hundred seventy-three thousand, seven hundred sixty".