10112224313400 has 384 divisors, whose sum is σ = 35131366448640. Its totient is φ = 2384859136000.

The previous prime is 10112224313329. The next prime is 10112224313413. The reversal of 10112224313400 is 431342221101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95468869 + ... + 95574731.

It is an arithmetic number, because the mean of its divisors is an integer number (91487933460).

Almost surely, 2^{10112224313400} is an apocalyptic number.

10112224313400 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 10112224313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565683224320).

10112224313400 is an abundant number, since it is smaller than the sum of its proper divisors (25019142135240).

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

10112224313400 is a wasteful number, since it uses less digits than its factorization.

10112224313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106287 (or 106278 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10112224313400 its reverse (431342221101), we get a palindrome (10543566534501).

The spelling of 10112224313400 in words is "ten trillion, one hundred twelve billion, two hundred twenty-four million, three hundred thirteen thousand, four hundred".