12842119987200 has 1248 divisors, whose sum is σ = 54589033518720. Its totient is φ = 2935341711360.

The previous prime is 12842119987163. The next prime is 12842119987237. The reversal of 12842119987200 is 278991124821.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (4!)³ ⋅ (2!)⁸.

12842119987200 is a `hidden beast` number, since 1 + 2 + 8 + 421 + 1 + 9 + 9 + 8 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (12842119987163) and next prime (12842119987237).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1834588569597 + ... + 1834588569603.

Almost surely, 2^{12842119987200} is an apocalyptic number.

12842119987200 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 12842119987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27294516759360).

12842119987200 is an abundant number, since it is smaller than the sum of its proper divisors (41746913531520).

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

12842119987200 is an frugal number, since it uses more digits than its factorization.

12842119987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 12842119987200 in words is "twelve trillion, eight hundred forty-two billion, one hundred nineteen million, nine hundred eighty-seven thousand, two hundred".