121393125360 has 1600 divisors, whose sum is σ = 517241894400. Its totient is φ = 26085556224.

The previous prime is 121393125353. The next prime is 121393125361. The reversal of 121393125360 is 63521393121.

121393125360 is a `hidden beast` number, since 1 + 21 + 3 + 93 + 12 + 536 + 0 = 666.

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 (121393125361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1536621801 + ... + 1536621879.

It is an arithmetic number, because the mean of its divisors is an integer number (323276184).

Almost surely, 2^121393125360 is an apocalyptic number.

121393125360 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 121393125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258620947200).

121393125360 is an abundant number, since it is smaller than the sum of its proper divisors (395848769040).

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

121393125360 is a wasteful number, since it uses less digits than its factorization.

121393125360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

It can be divided in two parts, 121393 and 125360, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 121393125360 in words is "one hundred twenty-one billion, three hundred ninety-three million, one hundred twenty-five thousand, three hundred sixty".