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12130100000 = 25551011201
BaseRepresentation
bin10110100110000001…
…01010001100100000
31011022100220220222222
423103000222030200
5144320301200000
65323354050212
7606411102014
oct132300521440
934270826888
1012130100000
115165141737
122426419968
1311b40b6985
14831006544
154aedbda85
hex2d302a320

12130100000 has 144 divisors (see below), whose sum is σ = 30170147112. Its totient is φ = 4800000000.

The previous prime is 12130099997. The next prime is 12130100041. The reversal of 12130100000 is 103121.

It can be written as a sum of positive squares in 12 ways, for example, as 6565536784 + 5564563216 = 81028^2 + 74596^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 10099400 + ... + 10100600.

Almost surely, 212130100000 is an apocalyptic number.

12130100000 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 12130100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085073556).

12130100000 is an abundant number, since it is smaller than the sum of its proper divisors (18040047112).

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

12130100000 is an equidigital number, since it uses as much as digits as its factorization.

12130100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 12130100000 its reverse (103121), we get a palindrome (12130203121).

The spelling of 12130100000 in words is "twelve billion, one hundred thirty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1201 1250 1616 2000 2020 2402 2500 2525 3125 3232 4000 4040 4804 5000 5050 6005 6250 8080 9608 10000 10100 12010 12500 12625 16160 19216 20000 20200 24020 25000 25250 30025 38432 40400 48040 50000 50500 60050 63125 80800 96080 100000 101000 120100 121301 126250 150125 192160 202000 240200 242602 252500 300250 315625 404000 480400 485204 505000 600500 606505 631250 750625 960800 970408 1010000 1201000 1213010 1262500 1501250 1940816 2020000 2402000 2426020 2525000 3002500 3032525 3753125 3881632 4804000 4852040 5050000 6005000 6065050 7506250 9704080 10100000 12010000 12130100 15012500 15162625 19408160 24020000 24260200 30025000 30325250 48520400 60050000 60650500 75813125 97040800 120100000 121301000 151626250 242602000 303252500 379065625 485204000 606505000 758131250 1213010000 1516262500 2426020000 3032525000 6065050000 12130100000