33001001221200 has 120 divisors (see below), whose sum is σ = 107707796268768. Its totient is φ = 8634224202240.

The previous prime is 33001001221189. The next prime is 33001001221207. The reversal of 33001001221200 is 212210010033.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33001001221200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33001001221207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259378234 + ... + 259505433.

Almost surely, 2^{33001001221200} is an apocalyptic number.

33001001221200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33001001221200 is an abundant number, since it is smaller than the sum of its proper divisors (74706795047568).

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

33001001221200 is a wasteful number, since it uses less digits than its factorization.

33001001221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518883741 (or 518883730 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 33001001221200 its reverse (212210010033), we get a palindrome (33213211231233).

The spelling of 33001001221200 in words is "thirty-three trillion, one billion, one million, two hundred twenty-one thousand, two hundred".