12947201740800 has 1872 divisors, whose sum is σ = 51534473582592. Its totient is φ = 3210529996800.

The previous prime is 12947201740769. The next prime is 12947201740813. The reversal of 12947201740800 is 804710274921.

12947201740800 is a `hidden beast` number, since 1 + 2 + 9 + 472 + 0 + 174 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53722828680 + ... + 53722828920.

It is an arithmetic number, because the mean of its divisors is an integer number (27529099136).

Almost surely, 2^{12947201740800} is an apocalyptic number.

12947201740800 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 12947201740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25767236791296).

12947201740800 is an abundant number, since it is smaller than the sum of its proper divisors (38587271841792).

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

12947201740800 is a wasteful number, since it uses less digits than its factorization.

12947201740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 12947201740800 in words is "twelve trillion, nine hundred forty-seven billion, two hundred one million, seven hundred forty thousand, eight hundred".