12039910272 has 576 divisors, whose sum is σ = 42012930960. Its totient is φ = 3277946880.

The previous prime is 12039910247. The next prime is 12039910273. The reversal of 12039910272 is 27201993021.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×12039910272³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12039910273) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91907647 + ... + 91907777.

Almost surely, 2^12039910272 is an apocalyptic number.

12039910272 is a gapful number since it is divisible by the number (12) 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 12039910272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21006465480).

12039910272 is an abundant number, since it is smaller than the sum of its proper divisors (29973020688).

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

12039910272 is a wasteful number, since it uses less digits than its factorization.

12039910272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12039910272 in words is "twelve billion, thirty-nine million, nine hundred ten thousand, two hundred seventy-two".