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12115442772 = 2232336540077
BaseRepresentation
bin10110100100010001…
…01111110001010100
31011021100100021001200
423102020233301110
5144303023132042
65322111552500
7606142364406
oct132210576124
934240307050
1012115442772
115157940524
12242152b730
1311b1054364
1482d0acb76
154ad975c4c
hex2d222fc54

12115442772 has 18 divisors (see below), whose sum is σ = 30625147098. Its totient is φ = 4038480912.

The previous prime is 12115442771. The next prime is 12115442789. The reversal of 12115442772 is 27724451121.

12115442772 is a `hidden beast` number, since 1 + 21 + 1 + 544 + 27 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9837862596 + 2277580176 = 99186^2 + 47724^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 336540077 = 12115442772 / (1 + 2 + 1 + 1 + 5 + 4 + 4 + 2 + 7 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12115442771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168270003 + ... + 168270074.

It is an arithmetic number, because the mean of its divisors is an integer number (1701397061).

Almost surely, 212115442772 is an apocalyptic number.

12115442772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12115442772 is an abundant number, since it is smaller than the sum of its proper divisors (18509704326).

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

12115442772 is a wasteful number, since it uses less digits than its factorization.

12115442772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336540087 (or 336540082 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

Adding to 12115442772 its reverse (27724451121), we get a palindrome (39839893893).

The spelling of 12115442772 in words is "twelve billion, one hundred fifteen million, four hundred forty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 336540077 673080154 1009620231 1346160308 2019240462 3028860693 4038480924 6057721386 12115442772