33134012000 has 48 divisors (see below), whose sum is σ = 81410277312. Its totient is φ = 13253603200.

The previous prime is 33134011997. The next prime is 33134012003. The reversal of 33134012000 is 21043133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33134011997) and next prime (33134012003).

It is a super-2 number, since 2×33134012000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33134012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33134012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4137752 + ... + 4145751.

It is an arithmetic number, because the mean of its divisors is an integer number (1696047444).

Almost surely, 2^33134012000 is an apocalyptic number.

It is an amenable number.

33134012000 is an abundant number, since it is smaller than the sum of its proper divisors (48276265312).

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

33134012000 is an equidigital number, since it uses as much as digits as its factorization.

33134012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283528 (or 8283510 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 33134012000 its reverse (21043133), we get a palindrome (33155055133).

The spelling of 33134012000 in words is "thirty-three billion, one hundred thirty-four million, twelve thousand".