33112001010000 has 400 divisors, whose sum is σ = 116631649525248. Its totient is φ = 8025470400000.

The previous prime is 33112001009987. The next prime is 33112001010017. The reversal of 33112001010000 is 1010021133.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×33112001010000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2419223157 + ... + 2419236843.

Almost surely, 2^{33112001010000} is an apocalyptic number.

33112001010000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33112001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58315824762624).

33112001010000 is an abundant number, since it is smaller than the sum of its proper divisors (83519648515248).

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

33112001010000 is a wasteful number, since it uses less digits than its factorization.

33112001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21060 (or 21039 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 33112001010000 its reverse (1010021133), we get a palindrome (33113011031133).

The spelling of 33112001010000 in words is "thirty-three trillion, one hundred twelve billion, one million, ten thousand".