12277472336640 has 1728 divisors, whose sum is σ = 52541848719360. Its totient is φ = 2584309432320.

The previous prime is 12277472336609. The next prime is 12277472336687. The reversal of 12277472336640 is 4663327477221.

12277472336640 is a `hidden beast` number, since 1 + 2 + 2 + 77 + 472 + 3 + 3 + 66 + 40 = 666.

It is a super-2 number, since 2×12277472336640² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21807232999 + ... + 21807233561.

Almost surely, 2^{12277472336640} is an apocalyptic number.

12277472336640 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 12277472336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26270924359680).

12277472336640 is an abundant number, since it is smaller than the sum of its proper divisors (40264376382720).

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

12277472336640 is a wasteful number, since it uses less digits than its factorization.

12277472336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 12277472336640 in words is "twelve trillion, two hundred seventy-seven billion, four hundred seventy-two million, three hundred thirty-six thousand, six hundred forty".