112303211100000 has 288 divisors, whose sum is σ = 369475699041792. Its totient is φ = 29865892800000.

The previous prime is 112303211099953. The next prime is 112303211100029. The reversal of 112303211100000 is 1112303211.

It is a happy number.

It is a super-2 number, since 2×112303211100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 109589995 + ... + 110610005.

It is an arithmetic number, because the mean of its divisors is an integer number (1282901732784).

Almost surely, 2^{112303211100000} is an apocalyptic number.

112303211100000 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 112303211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184737849520896).

112303211100000 is an abundant number, since it is smaller than the sum of its proper divisors (257172487941792).

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

112303211100000 is an equidigital number, since it uses as much as digits as its factorization.

112303211100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020416 (or 1020388 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112303211100000 its reverse (1112303211), we get a palindrome (112304323403211).

The spelling of 112303211100000 in words is "one hundred twelve trillion, three hundred three billion, two hundred eleven million, one hundred thousand".