33830022021120 has 2304 divisors, whose sum is σ = 141167654530560. Its totient is φ = 7610145177600.

The previous prime is 33830022021101. The next prime is 33830022021127. The reversal of 33830022021120 is 2112022003833.

It is a happy number.

33830022021120 is a `hidden beast` number, since 3 + 38 + 300 + 2 + 202 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×33830022021120² (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 not an unprimeable number, because it can be changed into a prime (33830022021127) 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, 160331857815 + ... + 160331858025.

It is an arithmetic number, because the mean of its divisors is an integer number (61270683390).

Almost surely, 2^{33830022021120} is an apocalyptic number.

33830022021120 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 33830022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70583827265280).

33830022021120 is an abundant number, since it is smaller than the sum of its proper divisors (107337632509440).

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

33830022021120 is a wasteful number, since it uses less digits than its factorization.

33830022021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 33830022021120 its reverse (2112022003833), we get a palindrome (35942044024953).

The spelling of 33830022021120 in words is "thirty-three trillion, eight hundred thirty billion, twenty-two million, twenty-one thousand, one hundred twenty".