102712801447200 has 576 divisors, whose sum is σ = 391521369028608. Its totient is φ = 22898134425600.

The previous prime is 102712801447199. The next prime is 102712801447279. The reversal of 102712801447200 is 2744108217201.

It is a super-2 number, since 2×102712801447200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2691122517 + ... + 2691160683.

It is an arithmetic number, because the mean of its divisors is an integer number (679724599008).

Almost surely, 2^{102712801447200} is an apocalyptic number.

102712801447200 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 102712801447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195760684514304).

102712801447200 is an abundant number, since it is smaller than the sum of its proper divisors (288808567581408).

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

102712801447200 is a wasteful number, since it uses less digits than its factorization.

102712801447200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42145 (or 42132 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 102712801447200 in words is "one hundred two trillion, seven hundred twelve billion, eight hundred one million, four hundred forty-seven thousand, two hundred".