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12136414332 = 22376117313691
BaseRepresentation
bin10110100110110001…
…01111110001111100
31011022210210201122010
423103120233301330
5144323410224312
65324141251220
7606515551110
oct132330576174
934283721563
1012136414332
115168764799
122428563b10
1311b54b7a73
14831bab740
154b071993c
hex2d362fc7c

12136414332 has 96 divisors (see below), whose sum is σ = 33086882304. Its totient is φ = 3390739200.

The previous prime is 12136414321. The next prime is 12136414333. The reversal of 12136414332 is 23341463121.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12136414332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12136414333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879607 + ... + 893297.

It is an arithmetic number, because the mean of its divisors is an integer number (344655024).

Almost surely, 212136414332 is an apocalyptic number.

12136414332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12136414332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16543441152).

12136414332 is an abundant number, since it is smaller than the sum of its proper divisors (20950467972).

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

12136414332 is a wasteful number, since it uses less digits than its factorization.

12136414332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13939 (or 13937 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 12136414332 its reverse (23341463121), we get a palindrome (35477877453).

The spelling of 12136414332 in words is "twelve billion, one hundred thirty-six million, four hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 173 183 244 346 366 427 519 692 732 854 1038 1211 1281 1708 2076 2422 2562 3633 4844 5124 7266 10553 13691 14532 21106 27382 31659 41073 42212 54764 63318 73871 82146 95837 126636 147742 164292 191674 221613 287511 295484 383348 443226 575022 835151 886452 1150044 1670302 2368543 2505453 3340604 4737086 5010906 5846057 7105629 9474172 10021812 11692114 14211258 16579801 17538171 23384228 28422516 33159602 35076342 49739403 66319204 70152684 99478806 144481123 198957612 288962246 433443369 577924492 866886738 1011367861 1733773476 2022735722 3034103583 4045471444 6068207166 12136414332