10122044433200 has 240 divisors, whose sum is σ = 29005441390080. Its totient is φ = 3318973532160.

The previous prime is 10122044433187. The next prime is 10122044433211. The reversal of 10122044433200 is 233444022101.

It is a self number, because there is not a number n which added to its sum of digits gives 10122044433200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 596142311 + ... + 596159289.

It is an arithmetic number, because the mean of its divisors is an integer number (120856005792).

Almost surely, 2^{10122044433200} is an apocalyptic number.

10122044433200 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 10122044433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502720695040).

10122044433200 is an abundant number, since it is smaller than the sum of its proper divisors (18883396956880).

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

10122044433200 is a wasteful number, since it uses less digits than its factorization.

10122044433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26284 (or 26273 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10122044433200 its reverse (233444022101), we get a palindrome (10355488455301).

The spelling of 10122044433200 in words is "ten trillion, one hundred twenty-two billion, forty-four million, four hundred thirty-three thousand, two hundred".