333121220120 has 192 divisors, whose sum is σ = 829720389600. Its totient is φ = 120313290240.

The previous prime is 333121220119. The next prime is 333121220171. The reversal of 333121220120 is 21022121333.

It is a super-2 number, since 2×333121220120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 333121220092 and 333121220101.

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 47 ways as a sum of consecutive naturals, for example, 1006408355 + ... + 1006408685.

Almost surely, 2^333121220120 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 333121220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414860194800).

333121220120 is an abundant number, since it is smaller than the sum of its proper divisors (496599169480).

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

333121220120 is an equidigital number, since it uses as much as digits as its factorization.

333121220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 333121220120 its reverse (21022121333), we get a palindrome (354143341453).

The spelling of 333121220120 in words is "three hundred thirty-three billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".