112238133062500 has 189 divisors, whose sum is σ = 253878902788917. Its totient is φ = 43415236500000.

The previous prime is 112238133062479. The next prime is 112238133062501. The reversal of 112238133062500 is 5260331832211.

It is a happy number.

The square root of 112238133062500 is 10594250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 98331379423524 + 13906753638976 = 9916218^2 + 3729176^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112238133062500.

It is not an unprimeable number, because it can be changed into a prime (112238133062501) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 82105436817 + ... + 82105438183.

Almost surely, 2^{112238133062500} is an apocalyptic number.

112238133062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112238133062500 is the 10594250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112238133062500

112238133062500 is an abundant number, since it is smaller than the sum of its proper divisors (141640769726417).

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

112238133062500 is an frugal number, since it uses more digits than its factorization.

112238133062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

Adding to 112238133062500 its reverse (5260331832211), we get a palindrome (117498464894711).

The spelling of 112238133062500 in words is "one hundred twelve trillion, two hundred thirty-eight billion, one hundred thirty-three million, sixty-two thousand, five hundred".