121604126860800 has 720 divisors, whose sum is σ = 475058821997760. Its totient is φ = 30721027645440.

The previous prime is 121604126860771. The next prime is 121604126860837. The reversal of 121604126860800 is 8068621406121.

It is a happy number.

121604126860800 is a `hidden beast` number, since 1 + 2 + 16 + 0 + 4 + 1 + 26 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58068759 + ... + 60126441.

Almost surely, 2^{121604126860800} is an apocalyptic number.

121604126860800 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 121604126860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237529410998880).

121604126860800 is an abundant number, since it is smaller than the sum of its proper divisors (353454695136960).

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

121604126860800 is an equidigital number, since it uses as much as digits as its factorization.

121604126860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057745 (or 2057712 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 121604126860800 in words is "one hundred twenty-one trillion, six hundred four billion, one hundred twenty-six million, eight hundred sixty thousand, eight hundred".