33222132321120 has 144 divisors (see below), whose sum is σ = 114235951061232. Its totient is φ = 8791607485440.

The previous prime is 33222132321067. The next prime is 33222132321173. The reversal of 33222132321120 is 2112323122233.

33222132321120 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 213 + 2 + 321 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (33222132321067) and next prime (33222132321173).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33222132321120² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87868327 + ... + 88245606.

It is an arithmetic number, because the mean of its divisors is an integer number (793305215703).

Almost surely, 2^{33222132321120} is an apocalyptic number.

33222132321120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33222132321120 is an abundant number, since it is smaller than the sum of its proper divisors (81013818740112).

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

33222132321120 is a wasteful number, since it uses less digits than its factorization.

33222132321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176114085 (or 176114074 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33222132321120 its reverse (2112323122233), we get a palindrome (35334455443353).

The spelling of 33222132321120 in words is "thirty-three trillion, two hundred twenty-two billion, one hundred thirty-two million, three hundred twenty-one thousand, one hundred twenty".