12883693062240 has 1920 divisors, whose sum is σ = 61231885811712. Its totient is φ = 2463795118080.

The previous prime is 12883693062173. The next prime is 12883693062271. The reversal of 12883693062240 is 4226039638821.

12883693062240 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 3 + 6 + 9 + 3 + 0 + 622 + 4 + 0 = 666.

It is a super-2 number, since 2×12883693062240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4968642384 + ... + 4968644976.

Almost surely, 2^{12883693062240} is an apocalyptic number.

12883693062240 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 12883693062240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30615942905856).

12883693062240 is an abundant number, since it is smaller than the sum of its proper divisors (48348192749472).

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

12883693062240 is a wasteful number, since it uses less digits than its factorization.

12883693062240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 12883693062240 in words is "twelve trillion, eight hundred eighty-three billion, six hundred ninety-three million, sixty-two thousand, two hundred forty".