Search a number
-
+
12040331112 = 2332389429889
BaseRepresentation
bin10110011011010100…
…01101111101101000
31011002010000012020100
423031222031331220
5144124311043422
65310430025400
7604241061105
oct131552157550
934063005210
1012040331112
1151194a8a77
122400348260
13119b615ca4
14823119aac
154a708a7ac
hex2cda8df68

12040331112 has 48 divisors (see below), whose sum is σ = 32693134500. Its totient is φ = 4003117056.

The previous prime is 12040331081. The next prime is 12040331119. The reversal of 12040331112 is 21113304021.

12040331112 is a `hidden beast` number, since 120 + 403 + 31 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11458846116 + 581484996 = 107046^2 + 24114^2 .

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 (12040331119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186937 + ... + 242952.

Almost surely, 212040331112 is an apocalyptic number.

12040331112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12040331112 is an abundant number, since it is smaller than the sum of its proper divisors (20652803388).

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

12040331112 is a wasteful number, since it uses less digits than its factorization.

12040331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430290 (or 430283 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12040331112 its reverse (21113304021), we get a palindrome (33153635133).

The spelling of 12040331112 in words is "twelve billion, forty million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 389 778 1167 1556 2334 3112 3501 4668 7002 9336 14004 28008 429889 859778 1289667 1719556 2579334 3439112 3869001 5158668 7738002 10317336 15476004 30952008 167226821 334453642 501680463 668907284 1003360926 1337814568 1505041389 2006721852 3010082778 4013443704 6020165556 12040331112