121904510112000 has 11520 divisors, whose sum is σ = 661372709437440. Its totient is φ = 21499084800000.

The previous prime is 121904510111963. The next prime is 121904510112001. The reversal of 121904510112000 is 211015409121.

121904510112000 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 0 + 451 + 0 + 1 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121904510112001) by changing a digit.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1998434591970 + ... + 1998434592030.

It is an arithmetic number, because the mean of its divisors is an integer number (57410825472).

Almost surely, 2^{121904510112000} is an apocalyptic number.

121904510112000 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 121904510112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330686354718720).

121904510112000 is an abundant number, since it is smaller than the sum of its proper divisors (539468199325440).

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

121904510112000 is a wasteful number, since it uses less digits than its factorization.

121904510112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 121904510112000 in words is "one hundred twenty-one trillion, nine hundred four billion, five hundred ten million, one hundred twelve thousand".