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12114004340 = 225605700217
BaseRepresentation
bin10110100100000110…
…10000100101110100
31011021020122011220102
423102003100211310
5144302141114330
65322021053232
7606124223624
oct132203204564
934236564812
1012114004340
115157048839
122420b57218
1311b096c709
1482cc16884
154ad78e945
hex2d20d0974

12114004340 has 12 divisors (see below), whose sum is σ = 25439409156. Its totient is φ = 4845601728.

The previous prime is 12114004319. The next prime is 12114004349. The reversal of 12114004340 is 4340041121.

It can be written as a sum of positive squares in 2 ways, for example, as 1823119204 + 10290885136 = 42698^2 + 101444^2 .

It is a super-3 number, since 3×121140043403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 605700217 = 12114004340 / (1 + 2 + 1 + 1 + 4 + 0 + 0 + 4 + 3 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114004349) 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, 302850089 + ... + 302850128.

It is an arithmetic number, because the mean of its divisors is an integer number (2119950763).

Almost surely, 212114004340 is an apocalyptic number.

12114004340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114004340 is an abundant number, since it is smaller than the sum of its proper divisors (13325404816).

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

12114004340 is a wasteful number, since it uses less digits than its factorization.

12114004340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605700226 (or 605700224 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12114004340 its reverse (4340041121), we get a palindrome (16454045461).

The spelling of 12114004340 in words is "twelve billion, one hundred fourteen million, four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 605700217 1211400434 2422800868 3028501085 6057002170 12114004340