33010120012122 has 256 divisors, whose sum is σ = 83356356096000. Its totient is φ = 9591451833600.

The previous prime is 33010120012117. The next prime is 33010120012141. The reversal of 33010120012122 is 22121002101033.

33010120012122 is a `hidden beast` number, since 330 + 1 + 0 + 1 + 200 + 12 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 33010120012095 and 33010120012104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4377415672 + ... + 4377423212.

It is an arithmetic number, because the mean of its divisors is an integer number (325610766000).

Almost surely, 2^{33010120012122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33010120012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41678178048000).

33010120012122 is an abundant number, since it is smaller than the sum of its proper divisors (50346236083878).

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

33010120012122 is a wasteful number, since it uses less digits than its factorization.

33010120012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 33010120012122 its reverse (22121002101033), we get a palindrome (55131122113155).

The spelling of 33010120012122 in words is "thirty-three trillion, ten billion, one hundred twenty million, twelve thousand, one hundred twenty-two".