121844152320 has 768 divisors, whose sum is σ = 452761021440. Its totient is φ = 27682406400.

The previous prime is 121844152319. The next prime is 121844152333. The reversal of 121844152320 is 23251448121.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×121844152320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474101632 + ... + 474101888.

It is an arithmetic number, because the mean of its divisors is an integer number (589532580).

Almost surely, 2^121844152320 is an apocalyptic number.

121844152320 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 121844152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226380510720).

121844152320 is an abundant number, since it is smaller than the sum of its proper divisors (330916869120).

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

121844152320 is a wasteful number, since it uses less digits than its factorization.

121844152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 121844152320 in words is "one hundred twenty-one billion, eight hundred forty-four million, one hundred fifty-two thousand, three hundred twenty".