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12011414202 = 2324143378503
BaseRepresentation
bin10110010111110111…
…11010001010111010
31011000002121001200200
423023323322022322
5144044410223302
65303514143030
7603440223204
oct131373721272
934002531620
1012011414202
1151041482a7
1223b2721a76
13119562cca8
1481d34d774
154a477781c
hex2cbefa2ba

12011414202 has 48 divisors (see below), whose sum is σ = 27279540288. Its totient is φ = 3815300160.

The previous prime is 12011414197. The next prime is 12011414203. The reversal of 12011414202 is 20241411021.

12011414202 is a `hidden beast` number, since 1 + 201 + 1 + 41 + 420 + 2 = 666.

It is a super-2 number, since 2×120114142022 (a number of 21 digits) contains 22 as substring.

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 (12011414203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157518 + ... + 220985.

It is an arithmetic number, because the mean of its divisors is an integer number (568323756).

Almost surely, 212011414202 is an apocalyptic number.

12011414202 is an abundant number, since it is smaller than the sum of its proper divisors (15268126086).

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

12011414202 is a wasteful number, since it uses less digits than its factorization.

12011414202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378595 (or 378592 counting only the distinct ones).

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

Adding to 12011414202 its reverse (20241411021), we get a palindrome (32252825223).

It can be divided in two parts, 1201 and 1414202, that added together give a triangular number (1415403 = T1682).

The spelling of 12011414202 in words is "twelve billion, eleven million, four hundred fourteen thousand, two hundred two".

Divisors: 1 2 3 6 9 18 41 43 82 86 123 129 246 258 369 387 738 774 1763 3526 5289 10578 15867 31734 378503 757006 1135509 2271018 3406527 6813054 15518623 16275629 31037246 32551258 46555869 48826887 93111738 97653774 139667607 146480661 279335214 292961322 667300789 1334601578 2001902367 4003804734 6005707101 12011414202