33135012 has 72 divisors (see below), whose sum is σ = 88976160. Its totient is φ = 10368000.

The previous prime is 33134999. The next prime is 33135041. The reversal of 33135012 is 21053133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131887 + ... + 132137.

It is an arithmetic number, because the mean of its divisors is an integer number (1235780).

Almost surely, 2^33135012 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 33135012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44488080).

33135012 is an abundant number, since it is smaller than the sum of its proper divisors (55841148).

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

33135012 is a wasteful number, since it uses less digits than its factorization.

33135012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 33135012 is about 5756.3019378764. The cubic root of 33135012 is about 321.1902677276.

Adding to 33135012 its reverse (21053133), we get a palindrome (54188145).

The spelling of 33135012 in words is "thirty-three million, one hundred thirty-five thousand, twelve".