121644882086400 has 3840 divisors, whose sum is σ = 517663324569600. Its totient is φ = 27794866176000.

The previous prime is 121644882086389. The next prime is 121644882086401. The reversal of 121644882086400 is 4680288446121.

121644882086400 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 448 + 82 + 0 + 86 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 (121644882086401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 297420249396 + ... + 297420249804.

It is an arithmetic number, because the mean of its divisors is an integer number (134808157440).

Almost surely, 2^{121644882086400} is an apocalyptic number.

121644882086400 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 121644882086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258831662284800).

121644882086400 is an abundant number, since it is smaller than the sum of its proper divisors (396018442483200).

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

121644882086400 is a wasteful number, since it uses less digits than its factorization.

121644882086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 121644882086400 in words is "one hundred twenty-one trillion, six hundred forty-four billion, eight hundred eighty-two million, eighty-six thousand, four hundred".