121915553760 has 1536 divisors, whose sum is σ = 580131901440. Its totient is φ = 23284039680.

The previous prime is 121915553717. The next prime is 121915553801. The reversal of 121915553760 is 67355519121.

121915553760 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 1 + 55 + 537 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 523242604 + ... + 523242836.

It is an arithmetic number, because the mean of its divisors is an integer number (377690040).

Almost surely, 2^121915553760 is an apocalyptic number.

121915553760 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 121915553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290065950720).

121915553760 is an abundant number, since it is smaller than the sum of its proper divisors (458216347680).

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

121915553760 is a wasteful number, since it uses less digits than its factorization.

121915553760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 121915553760 in words is "one hundred twenty-one billion, nine hundred fifteen million, five hundred fifty-three thousand, seven hundred sixty".