121120372800 has 1008 divisors, whose sum is σ = 515079032832. Its totient is φ = 26412134400.

The previous prime is 121120372799. The next prime is 121120372817. The reversal of 121120372800 is 8273021121.

121120372800 is a `hidden beast` number, since 1 + 211 + 2 + 0 + 372 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259358167 + ... + 259358633.

It is an arithmetic number, because the mean of its divisors is an integer number (510991104).

Almost surely, 2^121120372800 is an apocalyptic number.

121120372800 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 121120372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257539516416).

121120372800 is an abundant number, since it is smaller than the sum of its proper divisors (393958660032).

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

121120372800 is a wasteful number, since it uses less digits than its factorization.

121120372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 121120372800 its reverse (8273021121), we get a palindrome (129393393921).

It can be divided in two parts, 1211203 and 72800, that added together give a triangular number (1284003 = T₁₆₀₂).

The spelling of 121120372800 in words is "one hundred twenty-one billion, one hundred twenty million, three hundred seventy-two thousand, eight hundred".