20121333120 has 896 divisors, whose sum is σ = 84604495680. Its totient is φ = 4478976000.

The previous prime is 20121333119. The next prime is 20121333139. The reversal of 20121333120 is 2133312102.

It is a tau number, because it is divible by the number of its divisors (896).

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 = 20121333093 and 20121333102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 199221070 + ... + 199221170.

Almost surely, 2^20121333120 is an apocalyptic number.

20121333120 is a gapful number since it is divisible by the number (20) 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 20121333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42302247840).

20121333120 is an abundant number, since it is smaller than the sum of its proper divisors (64483162560).

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

20121333120 is an equidigital number, since it uses as much as digits as its factorization.

20121333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20121333120 its reverse (2133312102), we get a palindrome (22254645222).

The spelling of 20121333120 in words is "twenty billion, one hundred twenty-one million, three hundred thirty-three thousand, one hundred twenty".