2122013320020 has 288 divisors, whose sum is σ = 7397096878080. Its totient is φ = 486984026880.

The previous prime is 2122013320003. The next prime is 2122013320057. The reversal of 2122013320020 is 200233102212.

2122013320020 is a `hidden beast` number, since 212 + 201 + 33 + 200 + 20 = 666.

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 = 2122013319975 and 2122013320002.

It is a congruent number.

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, 51405909 + ... + 51447171.

It is an arithmetic number, because the mean of its divisors is an integer number (25684364160).

Almost surely, 2^{2122013320020} is an apocalyptic number.

2122013320020 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 2122013320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698548439040).

2122013320020 is an abundant number, since it is smaller than the sum of its proper divisors (5275083558060).

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

2122013320020 is a wasteful number, since it uses less digits than its factorization.

2122013320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42675 (or 42670 counting only the distinct ones).

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

Adding to 2122013320020 its reverse (200233102212), we get a palindrome (2322246422232).

The spelling of 2122013320020 in words is "two trillion, one hundred twenty-two billion, thirteen million, three hundred twenty thousand, twenty".