33003142442200 has 96 divisors (see below), whose sum is σ = 87804097365600. Its totient is φ = 11301165296640.

The previous prime is 33003142442113. The next prime is 33003142442201. The reversal of 33003142442200 is 224424130033.

It is a super-2 number, since 2×33003142442200² (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 not an unprimeable number, because it can be changed into a prime (33003142442201) 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 23 ways as a sum of consecutive naturals, for example, 13673205 + ... + 15904804.

It is an arithmetic number, because the mean of its divisors is an integer number (914626014225).

Almost surely, 2^{33003142442200} is an apocalyptic number.

It is an amenable number.

33003142442200 is an abundant number, since it is smaller than the sum of its proper divisors (54800954923400).

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

33003142442200 is a wasteful number, since it uses less digits than its factorization.

33003142442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29578829 (or 29578820 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 33003142442200 its reverse (224424130033), we get a palindrome (33227566572233).

The spelling of 33003142442200 in words is "thirty-three trillion, three billion, one hundred forty-two million, four hundred forty-two thousand, two hundred".