2120212201120 has 48 divisors (see below), whose sum is σ = 5394309124680. Its totient is φ = 782847581184.

The previous prime is 2120212201097. The next prime is 2120212201127. The reversal of 2120212201120 is 211022120212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1433852974096 + 686359227024 = 1197436^2 + 828468^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2120212201094 and 2120212201103.

It is not an unprimeable number, because it can be changed into a prime (2120212201127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509664315 + ... + 509668474.

Almost surely, 2^{2120212201120} is an apocalyptic number.

2120212201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120212201120 is an abundant number, since it is smaller than the sum of its proper divisors (3274096923560).

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

2120212201120 is a wasteful number, since it uses less digits than its factorization.

2120212201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019332817 (or 1019332809 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2120212201120 its reverse (211022120212), we get a palindrome (2331234321332).

The spelling of 2120212201120 in words is "two trillion, one hundred twenty billion, two hundred twelve million, two hundred one thousand, one hundred twenty".