121326508800 has 1728 divisors, whose sum is σ = 547464960000. Its totient is φ = 26227998720.

The previous prime is 121326508789. The next prime is 121326508801. The reversal of 121326508800 is 8805623121.

It is a happy number.

121326508800 is a `hidden beast` number, since 12 + 132 + 6 + 508 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (121326508801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1363219156 + ... + 1363219244.

It is an arithmetic number, because the mean of its divisors is an integer number (316820000).

Almost surely, 2^121326508800 is an apocalyptic number.

121326508800 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 121326508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273732480000).

121326508800 is an abundant number, since it is smaller than the sum of its proper divisors (426138451200).

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

121326508800 is an equidigital number, since it uses as much as digits as its factorization.

121326508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 121326508800 in words is "one hundred twenty-one billion, three hundred twenty-six million, five hundred eight thousand, eight hundred".