12210312400000 has 384 divisors, whose sum is σ = 35720249382720. Its totient is φ = 4098547200000.

The previous prime is 12210312399983. The next prime is 12210312400049. The reversal of 12210312400000 is 421301221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57093267 + ... + 57306733.

Almost surely, 2^{12210312400000} is an apocalyptic number.

12210312400000 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 12210312400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860124691360).

12210312400000 is an abundant number, since it is smaller than the sum of its proper divisors (23509936982720).

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

12210312400000 is an equidigital number, since it uses as much as digits as its factorization.

12210312400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213530 (or 213498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12210312400000 its reverse (421301221), we get a palindrome (12210733701221).

The spelling of 12210312400000 in words is "twelve trillion, two hundred ten billion, three hundred twelve million, four hundred thousand".