3331434122112 has 64 divisors (see below), whose sum is σ = 8851198152960. Its totient is φ = 1110217489920.

The previous prime is 3331434122089. The next prime is 3331434122123. The reversal of 3331434122112 is 2112214341333.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3331434122112² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3331434122112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624423 + ... + 2655705.

It is an arithmetic number, because the mean of its divisors is an integer number (138299971140).

Almost surely, 2^{3331434122112} is an apocalyptic number.

3331434122112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3331434122112 is an abundant number, since it is smaller than the sum of its proper divisors (5519764030848).

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

3331434122112 is a wasteful number, since it uses less digits than its factorization.

3331434122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035571 (or 2035559 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 3331434122112 its reverse (2112214341333), we get a palindrome (5443648463445).

The spelling of 3331434122112 in words is "three trillion, three hundred thirty-one billion, four hundred thirty-four million, one hundred twenty-two thousand, one hundred twelve".