33414122000000 has 448 divisors, whose sum is σ = 100100562446400. Its totient is φ = 10853222400000.

The previous prime is 33414121999969. The next prime is 33414122000087. The reversal of 33414122000000 is 22141433.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×33414122000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 265937192 + ... + 266062808.

Almost surely, 2^{33414122000000} 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 33414122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50050281223200).

33414122000000 is an abundant number, since it is smaller than the sum of its proper divisors (66686440446400).

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

33414122000000 is an frugal number, since it uses more digits than its factorization.

33414122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125687 (or 125650 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 33414122000000 its reverse (22141433), we get a palindrome (33414144141433).

The spelling of 33414122000000 in words is "thirty-three trillion, four hundred fourteen billion, one hundred twenty-two million", and thus it is an aban number.