112333012000 has 288 divisors, whose sum is σ = 316595889792. Its totient is φ = 39068480000.

The previous prime is 112333011929. The next prime is 112333012009. The reversal of 112333012000 is 210333211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112333012009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11126955 + ... + 11137045.

It is an arithmetic number, because the mean of its divisors is an integer number (1099291284).

Almost surely, 2^112333012000 is an apocalyptic number.

112333012000 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 112333012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158297944896).

112333012000 is an abundant number, since it is smaller than the sum of its proper divisors (204262877792).

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

112333012000 is a wasteful number, since it uses less digits than its factorization.

112333012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10161 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 112333012000 its reverse (210333211), we get a palindrome (112543345211).

The spelling of 112333012000 in words is "one hundred twelve billion, three hundred thirty-three million, twelve thousand".