Search a number
-
+
12131312000 = 27531017507
BaseRepresentation
bin10110100110001010…
…10010000110000000
31011022110012111112212
423103011102012000
5144321103441000
65323440041252
7606424310363
oct132305220600
934273174485
1012131312000
11516589a295
122426903228
1311b441c532
148312400da
154b005cc35
hex2d3152180

12131312000 has 128 divisors (see below), whose sum is σ = 30464160480. Its totient is φ = 4803840000.

The previous prime is 12131311999. The next prime is 12131312077. The reversal of 12131312000 is 21313121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1612247 + ... + 1619753.

Almost surely, 212131312000 is an apocalyptic number.

12131312000 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 12131312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15232080240).

12131312000 is an abundant number, since it is smaller than the sum of its proper divisors (18332848480).

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

12131312000 is an equidigital number, since it uses as much as digits as its factorization.

12131312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12131312000 its reverse (21313121), we get a palindrome (12152625121).

The spelling of 12131312000 in words is "twelve billion, one hundred thirty-one million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 160 200 202 250 320 400 404 500 505 640 800 808 1000 1010 1600 1616 2000 2020 2525 3200 3232 4000 4040 5050 6464 7507 8000 8080 10100 12625 12928 15014 16000 16160 20200 25250 30028 32320 37535 40400 50500 60056 64640 75070 80800 101000 120112 150140 161600 187675 202000 240224 300280 323200 375350 404000 480448 600560 750700 758207 808000 938375 960896 1201120 1501400 1516414 1616000 1876750 2402240 3002800 3032828 3753500 3791035 4804480 6005600 6065656 7507000 7582070 12011200 12131312 15014000 15164140 18955175 24022400 24262624 30028000 30328280 37910350 48525248 60056000 60656560 75820700 94775875 97050496 120112000 121313120 151641400 189551750 242626240 303282800 379103500 485252480 606565600 758207000 1213131200 1516414000 2426262400 3032828000 6065656000 12131312000