12155199033600 has 2592 divisors, whose sum is σ = 54020192486400. Its totient is φ = 2697597665280.

The previous prime is 12155199033553. The next prime is 12155199033631. The reversal of 12155199033600 is 633099155121.

12155199033600 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 5 + 1 + 9 + 9 + 0 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25376198161 + ... + 25376198639.

Almost surely, 2^{12155199033600} is an apocalyptic number.

12155199033600 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 12155199033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27010096243200).

12155199033600 is an abundant number, since it is smaller than the sum of its proper divisors (41864993452800).

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

12155199033600 is an frugal number, since it uses more digits than its factorization.

12155199033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 12155199033600 in words is "twelve trillion, one hundred fifty-five billion, one hundred ninety-nine million, thirty-three thousand, six hundred".