20120212220020 has 288 divisors, whose sum is σ = 49629065018400. Its totient is φ = 6833344573440.

The previous prime is 20120212220011. The next prime is 20120212220029. The reversal of 20120212220020 is 2002221202102.

It is an interprime number because it is at equal distance from previous prime (20120212220011) and next prime (20120212220029).

It can be written as a sum of positive squares in 16 ways, for example, as 1256860725604 + 18863351494416 = 1121098^2 + 4343196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20120212219976 and 20120212220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120212220029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449199786 + ... + 449244574.

It is an arithmetic number, because the mean of its divisors is an integer number (172323142425).

Almost surely, 2^{20120212220020} is an apocalyptic number.

20120212220020 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 20120212220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24814532509200).

20120212220020 is an abundant number, since it is smaller than the sum of its proper divisors (29508852798380).

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

20120212220020 is a wasteful number, since it uses less digits than its factorization.

20120212220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45059 (or 45046 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20120212220020 its reverse (2002221202102), we get a palindrome (22122433422122).

The spelling of 20120212220020 in words is "twenty trillion, one hundred twenty billion, two hundred twelve million, two hundred twenty thousand, twenty".