20212334002120 has 128 divisors (see below), whose sum is σ = 49273149996000. Its totient is φ = 7461908213760.

The previous prime is 20212334002073. The next prime is 20212334002123. The reversal of 20212334002120 is 2120043321202.

It can be written as a sum of positive squares in 16 ways, for example, as 7942487970564 + 12269846031556 = 2818242^2 + 3502834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20212334002091 and 20212334002100.

It is not an unprimeable number, because it can be changed into a prime (20212334002123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812086636 + ... + 812111524.

Almost surely, 2^{20212334002120} is an apocalyptic number.

20212334002120 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 20212334002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24636574998000).

20212334002120 is an abundant number, since it is smaller than the sum of its proper divisors (29060815993880).

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

20212334002120 is a wasteful number, since it uses less digits than its factorization.

20212334002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34180 (or 34150 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20212334002120 its reverse (2120043321202), we get a palindrome (22332377323322).

The spelling of 20212334002120 in words is "twenty trillion, two hundred twelve billion, three hundred thirty-four million, two thousand, one hundred twenty".