12155286338272 has 1152 divisors, whose sum is σ = 33609608847360. Its totient is φ = 4267468800000.

The previous prime is 12155286338269. The next prime is 12155286338339. The reversal of 12155286338272 is 27283368255121.

It is a congruent number.

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, 67156278022 + ... + 67156278202.

It is an arithmetic number, because the mean of its divisors is an integer number (29175007680).

Almost surely, 2^{12155286338272} 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 12155286338272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16804804423680).

12155286338272 is an abundant number, since it is smaller than the sum of its proper divisors (21454322509088).

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

12155286338272 is a wasteful number, since it uses less digits than its factorization.

12155286338272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The spelling of 12155286338272 in words is "twelve trillion, one hundred fifty-five billion, two hundred eighty-six million, three hundred thirty-eight thousand, two hundred seventy-two".