105512001220 has 12 divisors (see below), whose sum is σ = 221575202604. Its totient is φ = 42204800480.

The previous prime is 105512001209. The next prime is 105512001229. The reversal of 105512001220 is 22100215501.

It can be written as a sum of positive squares in 2 ways, for example, as 12565064836 + 92946936384 = 112094^2 + 304872^2 .

It is a super-3 number, since 3×105512001220³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105512001229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2637800011 + ... + 2637800050.

It is an arithmetic number, because the mean of its divisors is an integer number (18464600217).

Almost surely, 2^105512001220 is an apocalyptic number.

105512001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105512001220 is an abundant number, since it is smaller than the sum of its proper divisors (116063201384).

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

105512001220 is a wasteful number, since it uses less digits than its factorization.

105512001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275600070 (or 5275600068 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 105512001220 its reverse (22100215501), we get a palindrome (127612216721).

The spelling of 105512001220 in words is "one hundred five billion, five hundred twelve million, one thousand, two hundred twenty".