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12014012412 = 2232397840611
BaseRepresentation
bin10110011000001011…
…10100011111111100
31011000021111001202200
423030011310133330
5144101041344122
65304045551500
7603501264153
oct131405643774
934007431680
1012014012412
115105662386
1223b3575590
13119602c7ac
1481d82859a
154a4adc5ac
hex2cc1747fc

12014012412 has 36 divisors (see below), whose sum is σ = 30445285416. Its totient is φ = 3994578720.

The previous prime is 12014012401. The next prime is 12014012431. The reversal of 12014012412 is 21421041021.

12014012412 is a `hidden beast` number, since 1 + 20 + 1 + 401 + 241 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

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, 406014 + ... + 434597.

Almost surely, 212014012412 is an apocalyptic number.

12014012412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12014012412 is an abundant number, since it is smaller than the sum of its proper divisors (18431273004).

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

12014012412 is a wasteful number, since it uses less digits than its factorization.

12014012412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841018 (or 841013 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12014012412 its reverse (21421041021), we get a palindrome (33435053433).

The spelling of 12014012412 in words is "twelve billion, fourteen million, twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 397 794 1191 1588 2382 3573 4764 7146 14292 840611 1681222 2521833 3362444 5043666 7565499 10087332 15130998 30261996 333722567 667445134 1001167701 1334890268 2002335402 3003503103 4004670804 6007006206 12014012412