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12011233014 = 2331153381527
BaseRepresentation
bin10110010111110110…
…01101111011110110
31011000002020212011000
423023323031323312
5144044333424024
65303510224130
7603435540024
oct131373157366
934002225130
1012011233014
115104034160
1223b2655046
131195598691
1481d303714
154a473dcc9
hex2cbecdef6

12011233014 has 64 divisors (see below), whose sum is σ = 29667617280. Its totient is φ = 3571083360.

The previous prime is 12011233009. The next prime is 12011233037. The reversal of 12011233014 is 41033211021.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159282 + ... + 222245.

It is an arithmetic number, because the mean of its divisors is an integer number (463556520).

Almost surely, 212011233014 is an apocalyptic number.

12011233014 is an abundant number, since it is smaller than the sum of its proper divisors (17656384266).

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

12011233014 is a wasteful number, since it uses less digits than its factorization.

12011233014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381602 (or 381596 counting only the distinct ones).

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

Adding to 12011233014 its reverse (41033211021), we get a palindrome (53044444035).

It can be divided in two parts, 12011 and 233014, that added together give a square (245025 = 4952).

The spelling of 12011233014 in words is "twelve billion, eleven million, two hundred thirty-three thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 477 583 594 954 1166 1431 1749 2862 3498 5247 10494 15741 31482 381527 763054 1144581 2289162 3433743 4196797 6867486 8393594 10301229 12590391 20220931 20602458 25180782 37771173 40441862 60662793 75542346 113313519 121325586 181988379 222430241 226627038 363976758 444860482 545965137 667290723 1091930274 1334581446 2001872169 4003744338 6005616507 12011233014