12272864040 has 320 divisors, whose sum is σ = 43205944320. Its totient is φ = 3120768000.

The previous prime is 12272864039. The next prime is 12272864041. The reversal of 12272864040 is 4046827221.

12272864040 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 2 + 8 + 640 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12272864039) and next prime (12272864041).

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

It is a junction number, because it is equal to n+sod(n) for n = 12272863986 and 12272864004.

It is not an unprimeable number, because it can be changed into a prime (12272864041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7130380 + ... + 7132100.

It is an arithmetic number, because the mean of its divisors is an integer number (135018576).

Almost surely, 2^12272864040 is an apocalyptic number.

12272864040 is a gapful number since it is divisible by the number (10) 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 12272864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21602972160).

12272864040 is an abundant number, since it is smaller than the sum of its proper divisors (30933080280).

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

12272864040 is a wasteful number, since it uses less digits than its factorization.

12272864040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12272864040 in words is "twelve billion, two hundred seventy-two million, eight hundred sixty-four thousand, forty".