33222120000 has 280 divisors, whose sum is σ = 114625258176. Its totient is φ = 8473344000.

The previous prime is 33222119971. The next prime is 33222120011. The reversal of 33222120000 is 2122233.

It is a super-2 number, since 2×33222120000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2753982 + ... + 2766018.

Almost surely, 2^33222120000 is an apocalyptic number.

33222120000 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 33222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57312629088).

33222120000 is an abundant number, since it is smaller than the sum of its proper divisors (81403138176).

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

33222120000 is a wasteful number, since it uses less digits than its factorization.

33222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12095 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 33222120000 its reverse (2122233), we get a palindrome (33224242233).

The spelling of 33222120000 in words is "thirty-three billion, two hundred twenty-two million, one hundred twenty thousand".