121644611520 has 224 divisors, whose sum is σ = 391765828608. Its totient is φ = 31975636992.

The previous prime is 121644611513. The next prime is 121644611587. The reversal of 121644611520 is 25116446121.

It is a super-3 number, since 3×121644611520³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24488077 + ... + 24493043.

It is an arithmetic number, because the mean of its divisors is an integer number (1748954592).

Almost surely, 2^121644611520 is an apocalyptic number.

121644611520 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 121644611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195882914304).

121644611520 is an abundant number, since it is smaller than the sum of its proper divisors (270121217088).

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

121644611520 is a wasteful number, since it uses less digits than its factorization.

121644611520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5347 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 121644611520 in words is "one hundred twenty-one billion, six hundred forty-four million, six hundred eleven thousand, five hundred twenty".