33332113122 has 128 divisors (see below), whose sum is σ = 85127417856. Its totient is φ = 8450400000.

The previous prime is 33332113109. The next prime is 33332113141. The reversal of 33332113122 is 22131123333.

It is a super-2 number, since 2×33332113122² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33332113092 and 33332113101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3307972 + ... + 3318032.

It is an arithmetic number, because the mean of its divisors is an integer number (665057952).

Almost surely, 2^33332113122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33332113122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42563708928).

33332113122 is an abundant number, since it is smaller than the sum of its proper divisors (51795304734).

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

33332113122 is a wasteful number, since it uses less digits than its factorization.

33332113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10256.

The product of its digits is 1944, while the sum is 24.

Adding to 33332113122 its reverse (22131123333), we get a palindrome (55463236455).

It can be divided in two parts, 3333211 and 3122, that added together give a palindrome (3336333).

The spelling of 33332113122 in words is "thirty-three billion, three hundred thirty-two million, one hundred thirteen thousand, one hundred twenty-two".