10227282912000 has 6912 divisors, whose sum is σ = 53483441356800. Its totient is φ = 1881169920000.

The previous prime is 10227282911999. The next prime is 10227282912017. The reversal of 10227282912000 is 21928272201.

10227282912000 is a `hidden beast` number, since 102 + 272 + 82 + 9 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 329912351985 + ... + 329912352015.

It is an arithmetic number, because the mean of its divisors is an integer number (7737766400).

Almost surely, 2^{10227282912000} is an apocalyptic number.

10227282912000 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 10227282912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26741720678400).

10227282912000 is an abundant number, since it is smaller than the sum of its proper divisors (43256158444800).

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

10227282912000 is a wasteful number, since it uses less digits than its factorization.

10227282912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10227282912000 in words is "ten trillion, two hundred twenty-seven billion, two hundred eighty-two million, nine hundred twelve thousand".