121553505792 has 320 divisors, whose sum is σ = 375704524800. Its totient is φ = 38758072320.

The previous prime is 121553505781. The next prime is 121553505793. The reversal of 121553505792 is 297505355121.

121553505792 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 53 + 505 + 7 + 92 = 666.

121553505792 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (121553505793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38138823 + ... + 38142009.

It is an arithmetic number, because the mean of its divisors is an integer number (1174076640).

Almost surely, 2^121553505792 is an apocalyptic number.

121553505792 is a gapful number since it is divisible by the number (12) 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 121553505792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187852262400).

121553505792 is an abundant number, since it is smaller than the sum of its proper divisors (254151019008).

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

121553505792 is an equidigital number, since it uses as much as digits as its factorization.

121553505792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 121553505792 in words is "one hundred twenty-one billion, five hundred fifty-three million, five hundred five thousand, seven hundred ninety-two".