33120200122020 has 288 divisors, whose sum is σ = 112327890554880. Its totient is φ = 7829733300480.

The previous prime is 33120200122007. The next prime is 33120200122081. The reversal of 33120200122020 is 2022100202133.

It is a super-2 number, since 2×33120200122020² (a number of 28 digits) contains 22 as substring.

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 = 33120200121984 and 33120200122002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52387437 + ... + 53015883.

It is an arithmetic number, because the mean of its divisors is an integer number (390027397760).

Almost surely, 2^{33120200122020} is an apocalyptic number.

33120200122020 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 33120200122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56163945277440).

33120200122020 is an abundant number, since it is smaller than the sum of its proper divisors (79207690432860).

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

33120200122020 is a wasteful number, since it uses less digits than its factorization.

33120200122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629135 (or 629130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33120200122020 its reverse (2022100202133), we get a palindrome (35142300324153).

The spelling of 33120200122020 in words is "thirty-three trillion, one hundred twenty billion, two hundred million, one hundred twenty-two thousand, twenty".