10241122003200 has 324 divisors, whose sum is σ = 39942899772048. Its totient is φ = 2482696089600.

The previous prime is 10241122003181. The next prime is 10241122003261. The reversal of 10241122003200 is 230022114201.

It is a happy number.

10241122003200 is a `hidden beast` number, since 1 + 0 + 2 + 411 + 220 + 0 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7448094 + ... + 8715293.

It is an arithmetic number, because the mean of its divisors is an integer number (123280554852).

Almost surely, 2^{10241122003200} is an apocalyptic number.

10241122003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241122003200 is an abundant number, since it is smaller than the sum of its proper divisors (29701777768848).

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

10241122003200 is a wasteful number, since it uses less digits than its factorization.

10241122003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16163430 (or 16163408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10241122003200 its reverse (230022114201), we get a palindrome (10471144117401).

The spelling of 10241122003200 in words is "ten trillion, two hundred forty-one billion, one hundred twenty-two million, three thousand, two hundred".