10281220228080 has 120 divisors (see below), whose sum is σ = 34528391550432. Its totient is φ = 2741608945152.

The previous prime is 10281220228031. The next prime is 10281220228129. The reversal of 10281220228080 is 8082202218201.

10281220228080 is a `hidden beast` number, since 1 + 0 + 2 + 81 + 220 + 2 + 280 + 80 = 666.

10281220228080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10281220228031) and next prime (10281220228129).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57054282 + ... + 57234198.

Almost surely, 2^{10281220228080} is an apocalyptic number.

10281220228080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10281220228080 is an abundant number, since it is smaller than the sum of its proper divisors (24247171322352).

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

10281220228080 is a wasteful number, since it uses less digits than its factorization.

10281220228080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259303 (or 259294 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 10281220228080 in words is "ten trillion, two hundred eighty-one billion, two hundred twenty million, two hundred twenty-eight thousand, eighty".