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12220112211012 = 223437716395713
BaseRepresentation
bin1011000111010011011101…
…1100101000110001000100
31121021020020122000222010000
42301310313130220301010
53100203242211223022
641553501514401300
72400605525644146
oct261646734506104
947236218028100
1012220112211012
11399157a8468a2
12145440aa30230
136a8475714224
14303656c34c96
15162d16dc86ac
hexb1d37728c44

12220112211012 has 30 divisors (see below), whose sum is σ = 31945787169758. Its totient is φ = 4073370736896.

The previous prime is 12220112210927. The next prime is 12220112211017. The reversal of 12220112211012 is 21011221102221.

It can be written as a sum of positive squares in only one way, i.e., 12220100267076 + 11943936 = 3495726^2 + 3456^2 .

It is a super-2 number, since 2×122201122110122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12220112211017) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18858197533 + ... + 18858198180.

Almost surely, 212220112211012 is an apocalyptic number.

12220112211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12220112211012 is an abundant number, since it is smaller than the sum of its proper divisors (19725674958746).

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

12220112211012 is a wasteful number, since it uses less digits than its factorization.

12220112211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37716395729 (or 37716395718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12220112211012 its reverse (21011221102221), we get a palindrome (33231333313233).

The spelling of 12220112211012 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 37716395713 75432791426 113149187139 150865582852 226298374278 339447561417 452596748556 678895122834 1018342684251 1357790245668 2036685368502 3055028052753 4073370737004 6110056105506 12220112211012