12280076352 has 252 divisors, whose sum is σ = 37704118140. Its totient is φ = 3820068864.

The previous prime is 12280076351. The next prime is 12280076381. The reversal of 12280076352 is 25367008221.

12280076352 is a `hidden beast` number, since 12 + 2 + 8 + 0 + 0 + 7 + 635 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9082852416 + 3197223936 = 95304^2 + 56544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12280076351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15178924 + ... + 15179732.

Almost surely, 2^12280076352 is an apocalyptic number.

12280076352 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 12280076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18852059070).

12280076352 is an abundant number, since it is smaller than the sum of its proper divisors (25424041788).

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

12280076352 is a wasteful number, since it uses less digits than its factorization.

12280076352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12280076352 in words is "twelve billion, two hundred eighty million, seventy-six thousand, three hundred fifty-two".