12379838083200 has 1920 divisors, whose sum is σ = 56416960512000. Its totient is φ = 2662900531200.

The previous prime is 12379838083187. The next prime is 12379838083213. The reversal of 12379838083200 is 238083897321.

12379838083200 is a `hidden beast` number, since 1 + 237 + 9 + 8 + 3 + 80 + 8 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12379838083187) and next prime (12379838083213).

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 1511391105 + ... + 1511399295.

It is an arithmetic number, because the mean of its divisors is an integer number (29383833600).

Almost surely, 2^{12379838083200} is an apocalyptic number.

12379838083200 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 12379838083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28208480256000).

12379838083200 is an abundant number, since it is smaller than the sum of its proper divisors (44037122428800).

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

12379838083200 is an equidigital number, since it uses as much as digits as its factorization.

12379838083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12379838083200 in words is "twelve trillion, three hundred seventy-nine billion, eight hundred thirty-eight million, eighty-three thousand, two hundred".