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12120222132 = 2234196173191
BaseRepresentation
bin10110100100110101…
…11110100110110100
31011021200100002010000
423102122332212310
5144310234102012
65322402231300
7606231121404
oct132232764664
934250302100
1012120222132
11515a605307
122423055530
1311b2038895
1482d994804
154ae0bbddc
hex2d26be9b4

12120222132 has 120 divisors (see below), whose sum is σ = 33416792640. Its totient is φ = 3820037760.

The previous prime is 12120222109. The next prime is 12120222137. The reversal of 12120222132 is 23122202121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120222137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3796657 + ... + 3799847.

It is an arithmetic number, because the mean of its divisors is an integer number (278473272).

Almost surely, 212120222132 is an apocalyptic number.

12120222132 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 12120222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708396320).

12120222132 is an abundant number, since it is smaller than the sum of its proper divisors (21296570508).

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

12120222132 is a wasteful number, since it uses less digits than its factorization.

12120222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12120222132 its reverse (23122202121), we get a palindrome (35242424253).

The spelling of 12120222132 in words is "twelve billion, one hundred twenty million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 617 684 1026 1234 1539 1851 2052 2468 3078 3191 3702 5553 6156 6382 7404 9573 11106 11723 12764 16659 19146 22212 23446 28719 33318 35169 38292 46892 49977 57438 60629 66636 70338 86157 99954 105507 114876 121258 140676 172314 181887 199908 211014 242516 258471 316521 344628 363774 422028 516942 545661 633042 727548 949563 1033884 1091322 1266084 1636983 1899126 1968847 2182644 3273966 3798252 3937694 4910949 5906541 6547932 7875388 9821898 11813082 17719623 19643796 23626164 35439246 37408093 53158869 70878492 74816186 106317738 112224279 149632372 159476607 212635476 224448558 318953214 336672837 448897116 637906428 673345674 1010018511 1346691348 2020037022 3030055533 4040074044 6060111066 12120222132