2210220013120 has 84 divisors (see below), whose sum is σ = 6122365862940. Its totient is φ = 757789713408.

The previous prime is 2210220013117. The next prime is 2210220013129. The reversal of 2210220013120 is 213100220122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1730824409664 + 479395603456 = 1315608^2 + 692384^2 .

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 = 2210220013094 and 2210220013103.

It is not an unprimeable number, because it can be changed into a prime (2210220013129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70463275 + ... + 70494634.

Almost surely, 2^{2210220013120} is an apocalyptic number.

2210220013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210220013120 is an abundant number, since it is smaller than the sum of its proper divisors (3912145849820).

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

2210220013120 is a wasteful number, since it uses less digits than its factorization.

2210220013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140957940 (or 140957923 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2210220013120 its reverse (213100220122), we get a palindrome (2423320233242).

The spelling of 2210220013120 in words is "two trillion, two hundred ten billion, two hundred twenty million, thirteen thousand, one hundred twenty".