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12020100230112 = 2531325741989443
BaseRepresentation
bin1010111011101010010111…
…0011011110101111100000
31120120002222110012120220120
42232322211303132233200
53033414131124330422
641321542515440240
72350265201110332
oct256724563365740
946502873176816
1012020100230112
113914772242227
1214216ab2b6080
1369264ba8b980
142d7ac1315452
1515ca0c88945c
hexaeea5cdebe0

12020100230112 has 192 divisors, whose sum is σ = 34193911691520. Its totient is φ = 3675267661824.

The previous prime is 12020100230071. The next prime is 12020100230143. The reversal of 12020100230112 is 21103200102021.

It is a junction number, because it is equal to n+sod(n) for n = 12020100230091 and 12020100230100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134343663 + ... + 134433105.

It is an arithmetic number, because the mean of its divisors is an integer number (178093290060).

Almost surely, 212020100230112 is an apocalyptic number.

12020100230112 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 12020100230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17096955845760).

12020100230112 is an abundant number, since it is smaller than the sum of its proper divisors (22173811461408).

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

12020100230112 is a wasteful number, since it uses less digits than its factorization.

12020100230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90145 (or 90137 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12020100230112 its reverse (21103200102021), we get a palindrome (33123300332133).

The spelling of 12020100230112 in words is "twelve trillion, twenty billion, one hundred million, two hundred thirty thousand, one hundred twelve".