10008145123200 has 2304 divisors, whose sum is σ = 43539738278400. Its totient is φ = 2223005368320.

The previous prime is 10008145123199. The next prime is 10008145123261. The reversal of 10008145123200 is 232154180001.

10008145123200 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 8 + 1 + 451 + 2 + 3 + 200 = 666.

10008145123200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35364470259 + ... + 35364470541.

It is an arithmetic number, because the mean of its divisors is an integer number (18897455850).

Almost surely, 2^{10008145123200} is an apocalyptic number.

10008145123200 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 10008145123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21769869139200).

10008145123200 is an abundant number, since it is smaller than the sum of its proper divisors (33531593155200).

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

10008145123200 is an equidigital number, since it uses as much as digits as its factorization.

10008145123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10008145123200 in words is "ten trillion, eight billion, one hundred forty-five million, one hundred twenty-three thousand, two hundred".