12992204048040 has 384 divisors, whose sum is σ = 50055359477760. Its totient is φ = 2968975275264.

The previous prime is 12992204048029. The next prime is 12992204048051. The reversal of 12992204048040 is 4084040229921.

12992204048040 is a `hidden beast` number, since 1 + 2 + 9 + 92 + 2 + 0 + 40 + 480 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12992204048029) and next prime (12992204048051).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340385037 + ... + 340423203.

It is an arithmetic number, because the mean of its divisors is an integer number (130352498640).

Almost surely, 2^{12992204048040} is an apocalyptic number.

12992204048040 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 12992204048040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25027679738880).

12992204048040 is an abundant number, since it is smaller than the sum of its proper divisors (37063155429720).

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

12992204048040 is a wasteful number, since it uses less digits than its factorization.

12992204048040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43203 (or 43187 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12992204048040 in words is "twelve trillion, nine hundred ninety-two billion, two hundred four million, forty-eight thousand, forty".