33413043122200 has 48 divisors (see below), whose sum is σ = 88783228871280. Its totient is φ = 11455900498560.

The previous prime is 33413043122191. The next prime is 33413043122237. The reversal of 33413043122200 is 222134031433.

It is a happy number.

It is a super-2 number, since 2×33413043122200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11933228287 + ... + 11933231086.

It is an arithmetic number, because the mean of its divisors is an integer number (1849650601485).

Almost surely, 2^{33413043122200} is an apocalyptic number.

It is an amenable number.

33413043122200 is an abundant number, since it is smaller than the sum of its proper divisors (55370185749080).

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

33413043122200 is a wasteful number, since it uses less digits than its factorization.

33413043122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23866459396 (or 23866459387 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 33413043122200 its reverse (222134031433), we get a palindrome (33635177153633).

The spelling of 33413043122200 in words is "thirty-three trillion, four hundred thirteen billion, forty-three million, one hundred twenty-two thousand, two hundred".