10122854400 has 288 divisors, whose sum is σ = 36288171270. Its totient is φ = 2697461760.

The previous prime is 10122854387. The next prime is 10122854419. The reversal of 10122854400 is 445822101.

It can be written as a sum of positive squares in 3 ways, for example, as 9739321344 + 383533056 = 98688^2 + 19584^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7372114 + ... + 7373486.

Almost surely, 2^10122854400 is an apocalyptic number.

10122854400 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 10122854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144085635).

10122854400 is an abundant number, since it is smaller than the sum of its proper divisors (26165316870).

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

10122854400 is an equidigital number, since it uses as much as digits as its factorization.

10122854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10122854400 in words is "ten billion, one hundred twenty-two million, eight hundred fifty-four thousand, four hundred".