2220101312 has 224 divisors, whose sum is σ = 5530291200. Its totient is φ = 869806080.

The previous prime is 2220101311. The next prime is 2220101321. The reversal of 2220101312 is 2131010222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2220101311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11156189 + ... + 11156387.

It is an arithmetic number, because the mean of its divisors is an integer number (24688800).

Almost surely, 2^2220101312 is an apocalyptic number.

2220101312 is a gapful number since it is divisible by the number (22) 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 2220101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765145600).

2220101312 is an abundant number, since it is smaller than the sum of its proper divisors (3310189888).

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

2220101312 is a wasteful number, since it uses less digits than its factorization.

2220101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2220101312 is about 47117.9510590178. The cubic root of 2220101312 is about 1304.5405941039.

Adding to 2220101312 its reverse (2131010222), we get a palindrome (4351111534).

It can be divided in two parts, 222010 and 1312, that added together give a palindrome (223322).

The spelling of 2220101312 in words is "two billion, two hundred twenty million, one hundred one thousand, three hundred twelve".