33222013123230 has 256 divisors, whose sum is σ = 89645804801280. Its totient is φ = 8754606489600.

The previous prime is 33222013123223. The next prime is 33222013123237. The reversal of 33222013123230 is 3232131022233.

33222013123230 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 20 + 1 + 312 + 323 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (33222013123223) and next prime (33222013123237).

It is a super-2 number, since 2×33222013123230² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33222013123194 and 33222013123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33222013123237) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6160207414 + ... + 6160212806.

It is an arithmetic number, because the mean of its divisors is an integer number (350178925005).

Almost surely, 2^{33222013123230} is an apocalyptic number.

33222013123230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33222013123230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44822902400640).

33222013123230 is an abundant number, since it is smaller than the sum of its proper divisors (56423791678050).

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

33222013123230 is a wasteful number, since it uses less digits than its factorization.

33222013123230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 33222013123230 its reverse (3232131022233), we get a palindrome (36454144145463).

The spelling of 33222013123230 in words is "thirty-three trillion, two hundred twenty-two billion, thirteen million, one hundred twenty-three thousand, two hundred thirty".