12177262272 has 224 divisors, whose sum is σ = 38167527424. Its totient is φ = 3353011200.

The previous prime is 12177262247. The next prime is 12177262283. The reversal of 12177262272 is 27226277121.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12177262272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13790343 + ... + 13791225.

Almost surely, 2^12177262272 is an apocalyptic number.

12177262272 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 12177262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083763712).

12177262272 is an abundant number, since it is smaller than the sum of its proper divisors (25990265152).

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

12177262272 is a wasteful number, since it uses less digits than its factorization.

12177262272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1257 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The spelling of 12177262272 in words is "twelve billion, one hundred seventy-seven million, two hundred sixty-two thousand, two hundred seventy-two".