33002223220120 has 256 divisors, whose sum is σ = 96796477440000. Its totient is φ = 9819443842560.

The previous prime is 33002223220091. The next prime is 33002223220139. The reversal of 33002223220120 is 2102232220033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 33002223220091 and 33002223220100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34882357 + ... + 35815963.

It is an arithmetic number, because the mean of its divisors is an integer number (378111240000).

Almost surely, 2^{33002223220120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33002223220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48398238720000).

33002223220120 is an abundant number, since it is smaller than the sum of its proper divisors (63794254219880).

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

33002223220120 is a wasteful number, since it uses less digits than its factorization.

33002223220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934158 (or 934154 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 33002223220120 its reverse (2102232220033), we get a palindrome (35104455440153).

The spelling of 33002223220120 in words is "thirty-three trillion, two billion, two hundred twenty-three million, two hundred twenty thousand, one hundred twenty".