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12130312200 = 23352167121061
BaseRepresentation
bin10110100110000010…
…11110000000001000
31011022101022201002020
423103001132000020
5144320324442300
65323402404440
7606412644456
oct132301360010
934271281066
1012130312200
115165277106
122426500720
1311b415c436
1483105d9d6
154aee118a0
hex2d305e008

12130312200 has 96 divisors (see below), whose sum is σ = 37829453760. Its totient is φ = 3215353600.

The previous prime is 12130312199. The next prime is 12130312213. The reversal of 12130312200 is 221303121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12130312200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39670 + ... + 160730.

It is an arithmetic number, because the mean of its divisors is an integer number (394056810).

Almost surely, 212130312200 is an apocalyptic number.

12130312200 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 12130312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18914726880).

12130312200 is an abundant number, since it is smaller than the sum of its proper divisors (25699141560).

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

12130312200 is a wasteful number, since it uses less digits than its factorization.

12130312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121247 (or 121238 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12130312200 its reverse (221303121), we get a palindrome (12351615321).

The spelling of 12130312200 in words is "twelve billion, one hundred thirty million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1336 1670 2004 2505 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 25050 33400 50100 100200 121061 242122 363183 484244 605305 726366 968488 1210610 1452732 1815915 2421220 2905464 3026525 3631830 4842440 6053050 7263660 9079575 12106100 14527320 18159150 20217187 24212200 36318300 40434374 60651561 72636600 80868748 101085935 121303122 161737496 202171870 242606244 303257805 404343740 485212488 505429675 606515610 808687480 1010859350 1213031220 1516289025 2021718700 2426062440 3032578050 4043437400 6065156100 12130312200