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12123132180 = 22353117333761
BaseRepresentation
bin10110100101001100…
…00101000100010100
31011021212210220221120
423102212011010110
5144312010212210
65322544443540
7606264631455
oct132246050424
934255726846
1012123132180
115161212705
1224240195b0
1311b28172c3
1483011112c
154ae494270
hex2d2985114

12123132180 has 96 divisors (see below), whose sum is σ = 35069303808. Its totient is φ = 3125913600.

The previous prime is 12123132163. The next prime is 12123132181. The reversal of 12123132180 is 8123132121.

It is a self number, because there is not a number n which added to its sum of digits gives 12123132180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123132181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3221500 + ... + 3225260.

It is an arithmetic number, because the mean of its divisors is an integer number (365305248).

Almost surely, 212123132180 is an apocalyptic number.

12123132180 is a gapful number since it is divisible by the number (10) 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 12123132180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17534651904).

12123132180 is an abundant number, since it is smaller than the sum of its proper divisors (22946171628).

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

12123132180 is a wasteful number, since it uses less digits than its factorization.

12123132180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 12123132180 in words is "twelve billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1733 1860 3466 3761 5199 6932 7522 8665 10398 11283 15044 17330 18805 20796 22566 25995 34660 37610 45132 51990 53723 56415 75220 103980 107446 112830 116591 161169 214892 225660 233182 268615 322338 349773 466364 537230 582955 644676 699546 805845 1074460 1165910 1399092 1611690 1748865 2331820 3223380 3497730 6517813 6995460 13035626 19553439 26071252 32589065 39106878 65178130 78213756 97767195 130356260 195534390 202052203 391068780 404104406 606156609 808208812 1010261015 1212313218 2020522030 2424626436 3030783045 4041044060 6061566090 12123132180