12002250918400 has 120 divisors (see below), whose sum is σ = 29740968956160. Its totient is φ = 4800181186560.

The previous prime is 12002250918391. The next prime is 12002250918451. The reversal of 12002250918400 is 481905220021.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89878881 + ... + 90012319.

It is an arithmetic number, because the mean of its divisors is an integer number (247841407968).

Almost surely, 2^{12002250918400} is an apocalyptic number.

12002250918400 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 12002250918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870484478080).

12002250918400 is an abundant number, since it is smaller than the sum of its proper divisors (17738718037760).

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

12002250918400 is an equidigital number, since it uses as much as digits as its factorization.

12002250918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140494 (or 140473 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 12002250918400 in words is "twelve trillion, two billion, two hundred fifty million, nine hundred eighteen thousand, four hundred".