33233122112 has 112 divisors (see below), whose sum is σ = 72729090000. Its totient is φ = 14996373504.

The previous prime is 33233122081. The next prime is 33233122133. The reversal of 33233122112 is 21122133233.

It can be written as a sum of positive squares in 8 ways, for example, as 596531776 + 32636590336 = 24424^2 + 180656^2 .

It is a super-2 number, since 2×33233122112² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4697714 + ... + 4704782.

It is an arithmetic number, because the mean of its divisors is an integer number (649366875).

Almost surely, 2^33233122112 is an apocalyptic number.

33233122112 is a gapful number since it is divisible by the number (32) 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 33233122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36364545000).

33233122112 is an abundant number, since it is smaller than the sum of its proper divisors (39495967888).

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

33233122112 is a wasteful number, since it uses less digits than its factorization.

33233122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276 (or 7266 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

Adding to 33233122112 its reverse (21122133233), we get a palindrome (54355255345).

The spelling of 33233122112 in words is "thirty-three billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred twelve".