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12120210102 = 23711133754541
BaseRepresentation
bin10110100100110101…
…11011101010110110
31011021200022110121110
423102122323222312
5144310233210402
65322402055450
7606231041340
oct132232735266
934250273543
1012120210102
11515a5a7270
12242304a586
1311b2033270
1482d990290
154ae0b856c
hex2d26bbab6

12120210102 has 128 divisors (see below), whose sum is σ = 33426828288. Its totient is φ = 2827353600.

The previous prime is 12120210097. The next prime is 12120210131. The reversal of 12120210102 is 20101202121.

12120210102 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194952 + ... + 249492.

It is an arithmetic number, because the mean of its divisors is an integer number (261147096).

Almost surely, 212120210102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713414144).

12120210102 is an abundant number, since it is smaller than the sum of its proper divisors (21306618186).

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

12120210102 is a wasteful number, since it uses less digits than its factorization.

12120210102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54614.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120210102 its reverse (20101202121), we get a palindrome (32221412223).

It can be divided in two parts, 12120 and 210102, that added together give a palindrome (222222).

The spelling of 12120210102 in words is "twelve billion, one hundred twenty million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 54541 74074 109082 111111 163623 222222 327246 381787 599951 709033 763574 1145361 1199902 1418066 1799853 2018017 2127099 2290722 3599706 4036034 4199657 4254198 4963231 6054051 7799363 8399314 9926462 12108102 12598971 14126119 14889693 15598726 22198187 23398089 25197942 26234221 28252238 29779386 42378357 44396374 46796178 52468442 54595541 66594561 78702663 84756714 109191082 133189122 155387309 157405326 163786623 183639547 288576431 310774618 327573246 367279094 466161927 550918641 577152862 865729293 932323854 1101837282 1731458586 2020035017 4040070034 6060105051 12120210102