233000022112 has 288 divisors, whose sum is σ = 569539053216. Its totient is φ = 92488704000.

The previous prime is 233000022107. The next prime is 233000022179. The reversal of 233000022112 is 211220000332.

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

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, 244490628 + ... + 244491580.

It is an arithmetic number, because the mean of its divisors is an integer number (1977566157).

Almost surely, 2^233000022112 is an apocalyptic number.

233000022112 is a gapful number since it is divisible by the number (22) 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 233000022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284769526608).

233000022112 is an abundant number, since it is smaller than the sum of its proper divisors (336539031104).

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

233000022112 is a wasteful number, since it uses less digits than its factorization.

233000022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 233000022112 its reverse (211220000332), we get a palindrome (444220022444).

The spelling of 233000022112 in words is "two hundred thirty-three billion, twenty-two thousand, one hundred twelve".