33400122012 has 96 divisors (see below), whose sum is σ = 87251673600. Its totient is φ = 11048887296.

The previous prime is 33400121981. The next prime is 33400122023. The reversal of 33400122012 is 21022100433.

33400122012 is a `hidden beast` number, since 33 + 400 + 1 + 220 + 12 = 666.

It is a super-2 number, since 2×33400122012² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21423289 + ... + 21424847.

It is an arithmetic number, because the mean of its divisors is an integer number (908871600).

Almost surely, 2^33400122012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33400122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43625836800).

33400122012 is an abundant number, since it is smaller than the sum of its proper divisors (53851551588).

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

33400122012 is a wasteful number, since it uses less digits than its factorization.

33400122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33400122012 its reverse (21022100433), we get a palindrome (54422222445).

The spelling of 33400122012 in words is "thirty-three billion, four hundred million, one hundred twenty-two thousand, twelve".