121308364800 has 720 divisors, whose sum is σ = 509676267520. Its totient is φ = 27709931520.

The previous prime is 121308364789. The next prime is 121308364817. The reversal of 121308364800 is 8463803121.

121308364800 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 8 + 3 + 648 + 0 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77413617 + ... + 77415183.

Almost surely, 2^121308364800 is an apocalyptic number.

121308364800 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 121308364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254838133760).

121308364800 is an abundant number, since it is smaller than the sum of its proper divisors (388367902720).

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

121308364800 is an equidigital number, since it uses as much as digits as its factorization.

121308364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 121308364800 in words is "one hundred twenty-one billion, three hundred eight million, three hundred sixty-four thousand, eight hundred".