2211201130120 has 128 divisors (see below), whose sum is σ = 5157164233440. Its totient is φ = 852798136320.

The previous prime is 2211201130091. The next prime is 2211201130141. The reversal of 2211201130120 is 210311021122.

It can be written as a sum of positive squares in 16 ways, for example, as 9912591844 + 2201288538276 = 99562^2 + 1483674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2211201130094 and 2211201130103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42842730 + ... + 42894310.

Almost surely, 2^{2211201130120} is an apocalyptic number.

2211201130120 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 2211201130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578582116720).

2211201130120 is an abundant number, since it is smaller than the sum of its proper divisors (2945963103320).

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

2211201130120 is a wasteful number, since it uses less digits than its factorization.

2211201130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51995 (or 51991 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2211201130120 its reverse (210311021122), we get a palindrome (2421512151242).

The spelling of 2211201130120 in words is "two trillion, two hundred eleven billion, two hundred one million, one hundred thirty thousand, one hundred twenty".