12155411993088 has 1920 divisors, whose sum is σ = 44365247942400. Its totient is φ = 2938972667904.

The previous prime is 12155411993059. The next prime is 12155411993111. The reversal of 12155411993088 is 88039911455121.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166512493020 + ... + 166512493092.

It is an arithmetic number, because the mean of its divisors is an integer number (23106899970).

Almost surely, 2^{12155411993088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12155411993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22182623971200).

12155411993088 is an abundant number, since it is smaller than the sum of its proper divisors (32209835949312).

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

12155411993088 is an equidigital number, since it uses as much as digits as its factorization.

12155411993088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 57.

The spelling of 12155411993088 in words is "twelve trillion, one hundred fifty-five billion, four hundred eleven million, nine hundred ninety-three thousand, eighty-eight".