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12230000312112 = 2432113712711171471
BaseRepresentation
bin1011000111111000010011…
…0100101111111100110000
31121022011202202020112210200
42301332010310233330300
53100334020034441422
642002215022555200
72401405544265222
oct261760464577460
947264682215720
1012230000312112
113995794382580
12145630a438b00
136a9390182c1b
14303d1418a412
151631e50312ac
hexb1f84d2ff30

12230000312112 has 480 divisors, whose sum is σ = 38710561603584. Its totient is φ = 3571871385600.

The previous prime is 12230000312093. The next prime is 12230000312143. The reversal of 12230000312112 is 21121300003221.

12230000312112 is a `hidden beast` number, since 12 + 230 + 0 + 0 + 0 + 312 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8314071537 + ... + 8314073007.

Almost surely, 212230000312112 is an apocalyptic number.

12230000312112 is a gapful number since it is divisible by the number (12) 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 12230000312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355280801792).

12230000312112 is an abundant number, since it is smaller than the sum of its proper divisors (26480561291472).

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

12230000312112 is a wasteful number, since it uses less digits than its factorization.

12230000312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12230000312112 its reverse (21121300003221), we get a palindrome (33351300315333).

The spelling of 12230000312112 in words is "twelve trillion, two hundred thirty billion, three hundred twelve thousand, one hundred twelve".