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12141232140 = 22356719715331
BaseRepresentation
bin10110100111010110…
…01000000000001100
31011100010212111102110
423103223020000030
5144331123412030
65324432424020
7606604525152
oct132353100014
934303774373
1012141232140
115170455454
12242a0a8010
1311b64b393b
148326a33d2
154b0d6c1b0
hex2d3ac800c

12141232140 has 96 divisors (see below), whose sum is σ = 34680248064. Its totient is φ = 3172942080.

The previous prime is 12141232121. The next prime is 12141232141. The reversal of 12141232140 is 4123214121.

It is not an unprimeable number, because it can be changed into a prime (12141232141) 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, 784275 + ... + 799605.

It is an arithmetic number, because the mean of its divisors is an integer number (361252584).

Almost surely, 212141232140 is an apocalyptic number.

12141232140 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 12141232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340124032).

12141232140 is an abundant number, since it is smaller than the sum of its proper divisors (22539015924).

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

12141232140 is a wasteful number, since it uses less digits than its factorization.

12141232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15607 (or 15605 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12141232140 its reverse (4123214121), we get a palindrome (16264446261).

The spelling of 12141232140 in words is "twelve billion, one hundred forty-one million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 197 201 268 335 394 402 591 670 788 804 985 1005 1182 1340 1970 2010 2364 2955 3940 4020 5910 11820 13199 15331 26398 30662 39597 45993 52796 61324 65995 76655 79194 91986 131990 153310 158388 183972 197985 229965 263980 306620 395970 459930 791940 919860 1027177 2054354 3020207 3081531 4108708 5135885 6040414 6163062 9060621 10271770 12080828 12326124 15101035 15407655 18121242 20543540 30202070 30815310 36242484 45303105 60404140 61630620 90606210 181212420 202353869 404707738 607061607 809415476 1011769345 1214123214 2023538690 2428246428 3035308035 4047077380 6070616070 12141232140