10227381120 has 768 divisors, whose sum is σ = 41060597760. Its totient is φ = 2322432000.

The previous prime is 10227381113. The next prime is 10227381149. The reversal of 10227381120 is 2118372201.

It is a congruent number.

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, 80530497 + ... + 80530623.

It is an arithmetic number, because the mean of its divisors is an integer number (53464320).

Almost surely, 2^10227381120 is an apocalyptic number.

10227381120 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 10227381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20530298880).

10227381120 is an abundant number, since it is smaller than the sum of its proper divisors (30833216640).

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

10227381120 is a wasteful number, since it uses less digits than its factorization.

10227381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10227381120 in words is "ten billion, two hundred twenty-seven million, three hundred eighty-one thousand, one hundred twenty".