2120222121012 has 288 divisors, whose sum is σ = 5786292395520. Its totient is φ = 652626616320.

The previous prime is 2120222121001. The next prime is 2120222121013. The reversal of 2120222121012 is 2101212220212.

It is a happy number.

2120222121012 is a `hidden beast` number, since 21 + 202 + 221 + 210 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120222121013) 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, 1922231653 + ... + 1922232755.

It is an arithmetic number, because the mean of its divisors is an integer number (20091293040).

Almost surely, 2^{2120222121012} 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 2120222121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893146197760).

2120222121012 is an abundant number, since it is smaller than the sum of its proper divisors (3666070274508).

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

2120222121012 is a wasteful number, since it uses less digits than its factorization.

2120222121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120222121012 its reverse (2101212220212), we get a palindrome (4221434341224).

The spelling of 2120222121012 in words is "two trillion, one hundred twenty billion, two hundred twenty-two million, one hundred twenty-one thousand, twelve".