33020023122000 has 960 divisors, whose sum is σ = 119303949772800. Its totient is φ = 8508487680000.

The previous prime is 33020023121977. The next prime is 33020023122011. The reversal of 33020023122000 is 22132002033.

It is a happy number.

33020023122000 is a `hidden beast` number, since 3 + 30 + 200 + 231 + 2 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13764076801 + ... + 13764079199.

It is an arithmetic number, because the mean of its divisors is an integer number (124274947680).

Almost surely, 2^{33020023122000} is an apocalyptic number.

33020023122000 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 33020023122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59651974886400).

33020023122000 is an abundant number, since it is smaller than the sum of its proper divisors (86283926650800).

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

33020023122000 is a wasteful number, since it uses less digits than its factorization.

33020023122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33020023122000 its reverse (22132002033), we get a palindrome (33042155124033).

The spelling of 33020023122000 in words is "thirty-three trillion, twenty billion, twenty-three million, one hundred twenty-two thousand".