10274123200 has 168 divisors, whose sum is σ = 27786842064. Its totient is φ = 3707904000.

The previous prime is 10274123191. The next prime is 10274123227. The reversal of 10274123200 is 232147201.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2409070 + ... + 2413330.

Almost surely, 2^10274123200 is an apocalyptic number.

10274123200 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 10274123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13893421032).

10274123200 is an abundant number, since it is smaller than the sum of its proper divisors (17512718864).

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

10274123200 is a wasteful number, since it uses less digits than its factorization.

10274123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The spelling of 10274123200 in words is "ten billion, two hundred seventy-four million, one hundred twenty-three thousand, two hundred".