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12120211012 = 22713241138163
BaseRepresentation
bin10110100100110101…
…11011111001000100
31011021200022111212011
423102122323321010
5144310233223022
65322402104004
7606231044110
oct132232737104
934250274764
1012120211012
11515a5a7a18
12242304b004
1311b20337c0
1482d990740
154ae0b8977
hex2d26bbe44

12120211012 has 48 divisors (see below), whose sum is σ = 26213579392. Its totient is φ = 4774878720.

The previous prime is 12120210997. The next prime is 12120211021. The reversal of 12120211012 is 21011202121.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 12120210983 and 12120211001.

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, 18643 + ... + 156805.

Almost surely, 212120211012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106789696).

12120211012 is an abundant number, since it is smaller than the sum of its proper divisors (14093368380).

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

12120211012 is a wasteful number, since it uses less digits than its factorization.

12120211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138428 (or 138426 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12120211012 its reverse (21011202121), we get a palindrome (33131413133).

The spelling of 12120211012 in words is "twelve billion, one hundred twenty million, two hundred eleven thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 241 364 482 964 1687 3133 3374 6266 6748 12532 21931 43862 87724 138163 276326 552652 967141 1796119 1934282 3592238 3868564 7184476 12572833 25145666 33297283 50291332 66594566 133189132 233080981 432864679 466161962 865729358 932323924 1731458716 3030052753 6060105506 12120211012