112333213003032 has 192 divisors, whose sum is σ = 351457544256000. Its totient is φ = 31748502251520.

The previous prime is 112333213003027. The next prime is 112333213003043. The reversal of 112333213003032 is 230300312333211.

112333213003032 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 321 + 30 + 0 + 303 + 2 = 666.

It is a super-3 number, since 3×112333213003032³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112333213002987 and 112333213003005.

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, 97742469 + ... + 98885067.

It is an arithmetic number, because the mean of its divisors is an integer number (1830508043000).

Almost surely, 2^{112333213003032} is an apocalyptic number.

112333213003032 is a gapful number since it is divisible by the number (12) 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 112333213003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175728772128000).

112333213003032 is an abundant number, since it is smaller than the sum of its proper divisors (239124331252968).

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

112333213003032 is a wasteful number, since it uses less digits than its factorization.

112333213003032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144726 (or 1144719 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 112333213003032 its reverse (230300312333211), we get a palindrome (342633525336243).

The spelling of 112333213003032 in words is "one hundred twelve trillion, three hundred thirty-three billion, two hundred thirteen million, three thousand, thirty-two".