33112102122 has 48 divisors (see below), whose sum is σ = 81667804608. Its totient is φ = 9597709440.

The previous prime is 33112102103. The next prime is 33112102139. The reversal of 33112102122 is 22120121133.

33112102122 is a `hidden beast` number, since 331 + 1 + 210 + 2 + 122 = 666.

It is a super-2 number, since 2×33112102122² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33112102095 and 33112102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3630943 + ... + 3640050.

It is an arithmetic number, because the mean of its divisors is an integer number (1701412596).

Almost surely, 2^33112102122 is an apocalyptic number.

33112102122 is an abundant number, since it is smaller than the sum of its proper divisors (48555702486).

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

33112102122 is a wasteful number, since it uses less digits than its factorization.

33112102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271035 (or 7271032 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 33112102122 its reverse (22120121133), we get a palindrome (55232223255).

The spelling of 33112102122 in words is "thirty-three billion, one hundred twelve million, one hundred two thousand, one hundred twenty-two".