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12000210102 = 234251421701
BaseRepresentation
bin10110010110100010…
…01010110010110110
31010222022111211120000
423023101022302312
5144034023210402
65302434052130
7603243050166
oct131321126266
933868454500
1012000210102
1150a8895511
1223aaa1a046
13119320934a
1481ba745a6
154a37b2c1c
hex2cb44acb6

12000210102 has 80 divisors (see below), whose sum is σ = 27099216144. Its totient is φ = 3969000000.

The previous prime is 12000210077. The next prime is 12000210107. The reversal of 12000210102 is 20101200021.

12000210102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17118352 + ... + 17119052.

Almost surely, 212000210102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13549608072).

12000210102 is an abundant number, since it is smaller than the sum of its proper divisors (15099006042).

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

12000210102 is a wasteful number, since it uses less digits than its factorization.

12000210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000210102 its reverse (20101200021), we get a palindrome (32101410123).

The spelling of 12000210102 in words is "twelve billion, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 251 421 502 701 753 842 1263 1402 1506 2103 2259 2526 3789 4206 4518 6309 6777 7578 11367 12618 13554 18927 20331 22734 34101 37854 40662 56781 68202 105671 113562 175951 211342 295121 317013 351902 527853 590242 634026 885363 951039 1055706 1583559 1770726 1902078 2656089 2853117 3167118 4750677 5312178 5706234 7968267 8559351 9501354 14252031 15936534 17118702 23904801 28504062 47809602 74075371 148150742 222226113 444452226 666678339 1333356678 2000035017 4000070034 6000105051 12000210102