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12129999 = 3721943101
BaseRepresentation
bin101110010001…
…011011001111
3211211021020020
4232101123033
511101124444
61111553223
7205050300
oct56213317
924737206
1012129999
1169354a2
12408b813
13268921b
14187a7a7
1510e9119
hexb916cf

12129999 has 48 divisors (see below), whose sum is σ = 20465280. Its totient is φ = 6350400.

The previous prime is 12129991. The next prime is 12130003. The reversal of 12129999 is 99992121.

12129999 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12129999 - 23 = 12129991 is a prime.

12129999 is a modest number, since divided by 9999 gives 1212 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 12129999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12129991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120049 + ... + 120149.

It is an arithmetic number, because the mean of its divisors is an integer number (426360).

Almost surely, 212129999 is an apocalyptic number.

12129999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12129999 is the 1862-nd nonagonal number.

12129999 is a deficient number, since it is larger than the sum of its proper divisors (8335281).

12129999 is a wasteful number, since it uses less digits than its factorization.

12129999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its digits is 26244, while the sum is 42.

The square root of 12129999 is about 3482.8148098916. The cubic root of 12129999 is about 229.7666126569.

It can be divided in two parts, 1212 and 9999, that added together give a palindrome (11211).

The spelling of 12129999 in words is "twelve million, one hundred twenty-nine thousand, nine hundred ninety-nine".

Divisors: 1 3 7 19 21 43 49 57 101 129 133 147 301 303 399 707 817 903 931 1919 2107 2121 2451 2793 4343 4949 5719 5757 6321 13029 13433 14847 17157 30401 40033 40299 82517 91203 94031 120099 212807 247551 282093 577619 638421 1732857 4043333 12129999