12903936933888 has 2880 divisors, whose sum is σ = 54823081098240. Its totient is φ = 2942985830400.

The previous prime is 12903936933887. The next prime is 12903936933959. The reversal of 12903936933888 is 88833963930921.

12903936933888 is a `hidden beast` number, since 12 + 90 + 3 + 93 + 69 + 3 + 388 + 8 = 666.

It is a super-3 number, since 3×12903936933888³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12903936933887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71292469158 + ... + 71292469338.

It is an arithmetic number, because the mean of its divisors is an integer number (19035792048).

Almost surely, 2^{12903936933888} is an apocalyptic number.

12903936933888 is a gapful number since it is divisible by the number (18) 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 12903936933888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27411540549120).

12903936933888 is an abundant number, since it is smaller than the sum of its proper divisors (41919144164352).

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

12903936933888 is a wasteful number, since it uses less digits than its factorization.

12903936933888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 12903936933888 in words is "twelve trillion, nine hundred three billion, nine hundred thirty-six million, nine hundred thirty-three thousand, eight hundred eighty-eight".