33121002222000 has 1600 divisors, whose sum is σ = 149535539112960. Its totient is φ = 6864777216000.

The previous prime is 33121002221971. The next prime is 33121002222037. The reversal of 33121002222000 is 22220012133.

33121002222000 is a `hidden beast` number, since 3 + 31 + 210 + 0 + 222 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5226602832 + ... + 5226609168.

Almost surely, 2^{33121002222000} is an apocalyptic number.

33121002222000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33121002222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74767769556480).

33121002222000 is an abundant number, since it is smaller than the sum of its proper divisors (116414536890960).

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

33121002222000 is a wasteful number, since it uses less digits than its factorization.

33121002222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33121002222000 its reverse (22220012133), we get a palindrome (33143222234133).

The spelling of 33121002222000 in words is "thirty-three trillion, one hundred twenty-one billion, two million, two hundred twenty-two thousand".