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12014224134 = 23111961157061
BaseRepresentation
bin10110011000001101…
…01000001100000110
31011000021212211012020
423030012220030012
5144101120133014
65304054304010
7603503135343
oct131406501406
934007784166
1012014224134
115105797460
1223b3658006
1311960a4c83
1481d8817ca
154a4b301a9
hex2cc1a8306

12014224134 has 64 divisors (see below), whose sum is σ = 28044990720. Its totient is φ = 3392496000.

The previous prime is 12014224129. The next prime is 12014224141. The reversal of 12014224134 is 43142241021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037 + ... + 155024.

It is an arithmetic number, because the mean of its divisors is an integer number (438202980).

Almost surely, 212014224134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12014224134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022495360).

12014224134 is an abundant number, since it is smaller than the sum of its proper divisors (16030766586).

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

12014224134 is a wasteful number, since it uses less digits than its factorization.

12014224134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157157.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12014224134 its reverse (43142241021), we get a palindrome (55156465155).

The spelling of 12014224134 in words is "twelve billion, fourteen million, two hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 61 66 114 122 183 209 366 418 627 671 1159 1254 1342 2013 2318 3477 4026 6954 12749 25498 38247 76494 157061 314122 471183 942366 1727671 2984159 3455342 5183013 5968318 8952477 9580721 10366026 17904954 19161442 28742163 32825749 57484326 65651498 98477247 105387931 182033699 196954494 210775862 316163793 364067398 546101097 632327586 1092202194 2002370689 4004741378 6007112067 12014224134