121648802795520 has 3328 divisors, whose sum is σ = 548180617420800. Its totient is φ = 22681799884800.

The previous prime is 121648802795467. The next prime is 121648802795609. The reversal of 121648802795520 is 25597208846121.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-3 number, since 3×121648802795520³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111502110175 + ... + 111502111265.

It is an arithmetic number, because the mean of its divisors is an integer number (164717733600).

Almost surely, 2^{121648802795520} is an apocalyptic number.

121648802795520 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 121648802795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274090308710400).

121648802795520 is an abundant number, since it is smaller than the sum of its proper divisors (426531814625280).

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

121648802795520 is a wasteful number, since it uses less digits than its factorization.

121648802795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 121648802795520 in words is "one hundred twenty-one trillion, six hundred forty-eight billion, eight hundred two million, seven hundred ninety-five thousand, five hundred twenty".