121213183795200 has 3024 divisors, whose sum is σ = 527786497180800. Its totient is φ = 27600525066240.

The previous prime is 121213183795177. The next prime is 121213183795213. The reversal of 121213183795200 is 2597381312121.

121213183795200 is a `hidden beast` number, since 1 + 2 + 1 + 21 + 31 + 8 + 3 + 79 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 460886630269 + ... + 460886630531.

Almost surely, 2^{121213183795200} is an apocalyptic number.

121213183795200 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 121213183795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263893248590400).

121213183795200 is an abundant number, since it is smaller than the sum of its proper divisors (406573313385600).

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

121213183795200 is an frugal number, since it uses more digits than its factorization.

121213183795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 121213183795200 in words is "one hundred twenty-one trillion, two hundred thirteen billion, one hundred eighty-three million, seven hundred ninety-five thousand, two hundred".