10220211312 has 80 divisors (see below), whose sum is σ = 26574965760. Its totient is φ = 3384516096.

The previous prime is 10220211307. The next prime is 10220211367. The reversal of 10220211312 is 21311202201.

It is a super-2 number, since 2×10220211312² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10220211291 and 10220211300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10029139 + ... + 10030157.

It is an arithmetic number, because the mean of its divisors is an integer number (332187072).

Almost surely, 2^10220211312 is an apocalyptic number.

10220211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220211312 is an abundant number, since it is smaller than the sum of its proper divisors (16354754448).

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

10220211312 is a wasteful number, since it uses less digits than its factorization.

10220211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10220211312 its reverse (21311202201), we get a palindrome (31531413513).

The spelling of 10220211312 in words is "ten billion, two hundred twenty million, two hundred eleven thousand, three hundred twelve".