12049277760 has 168 divisors, whose sum is σ = 44632671720. Its totient is φ = 2965966848.

The previous prime is 12049277753. The next prime is 12049277767. The reversal of 12049277760 is 6777294021.

12049277760 is a `hidden beast` number, since 1 + 20 + 492 + 77 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12049277753) and next prime (12049277767).

It can be written as a sum of positive squares in 4 ways, for example, as 234457344 + 11814820416 = 15312^2 + 108696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12049277767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123475 + ... + 198354.

It is an arithmetic number, because the mean of its divisors is an integer number (265670665).

Almost surely, 2^12049277760 is an apocalyptic number.

12049277760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12049277760 is an abundant number, since it is smaller than the sum of its proper divisors (32583393960).

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

12049277760 is a wasteful number, since it uses less digits than its factorization.

12049277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321865 (or 321852 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 12049277760 in words is "twelve billion, forty-nine million, two hundred seventy-seven thousand, seven hundred sixty".