121359482401824 has 192 divisors, whose sum is σ = 355627767600000. Its totient is φ = 40263401078784.

The previous prime is 121359482401823. The next prime is 121359482401873. The reversal of 121359482401824 is 428104284953121.

121359482401824 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 594 + 8 + 2 + 40 + 1 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (121359482401823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277119159 + ... + 277556745.

It is an arithmetic number, because the mean of its divisors is an integer number (1852227956250).

Almost surely, 2^{121359482401824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121359482401824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177813883800000).

121359482401824 is an abundant number, since it is smaller than the sum of its proper divisors (234268285198176).

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

121359482401824 is a wasteful number, since it uses less digits than its factorization.

121359482401824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439112 (or 439098 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 121359482401824 in words is "one hundred twenty-one trillion, three hundred fifty-nine billion, four hundred eighty-two million, four hundred one thousand, eight hundred twenty-four".