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12131422300 = 22524319114771
BaseRepresentation
bin10110100110001011…
…01101000001011100
31011022110102002212001
423103011231001130
5144321121003200
65323442252044
7606425250064
oct132305550134
934273362761
1012131422300
115165965148
122426957024
1311b445a7ba
1483126c3a4
154b008076a
hex2d316d05c

12131422300 has 72 divisors (see below), whose sum is σ = 27080266752. Its totient is φ = 4714584000.

The previous prime is 12131422283. The next prime is 12131422319. The reversal of 12131422300 is 322413121.

It is a happy number.

It is a congruent number.

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, 813915 + ... + 828685.

It is an arithmetic number, because the mean of its divisors is an integer number (376114816).

Almost surely, 212131422300 is an apocalyptic number.

12131422300 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 12131422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540133376).

12131422300 is an abundant number, since it is smaller than the sum of its proper divisors (14948844452).

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

12131422300 is a wasteful number, since it uses less digits than its factorization.

12131422300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15019 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12131422300 its reverse (322413121), we get a palindrome (12453835421).

The spelling of 12131422300 in words is "twelve billion, one hundred thirty-one million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 191 215 382 430 764 860 955 1075 1910 2150 3820 4300 4775 8213 9550 14771 16426 19100 29542 32852 41065 59084 73855 82130 147710 164260 205325 295420 369275 410650 635153 738550 821300 1270306 1477100 2540612 2821261 3175765 5642522 6351530 11285044 12703060 14106305 15878825 28212610 31757650 56425220 63515300 70531525 121314223 141063050 242628446 282126100 485256892 606571115 1213142230 2426284460 3032855575 6065711150 12131422300