Search a number
12130220110200 = 23352193106198729
BaseRepresentation
bin1011000010000100100101…
…1101011111000101111000
31120221122012220012002211220
42300201021131133011320
53042220142322011300
641444313550552040
72361244106462403
oct260411135370570
946848186162756
1012130220110200
113957441021a95
12143ab02208620
1369cb4b07002a
142dd16a3c2d3a
15160805261da0
hexb084975f178

12130220110200 has 192 divisors, whose sum is σ = 37834528658400. Its totient is φ = 3214899609600.

The previous prime is 12130220110189. The next prime is 12130220110219. The reversal of 12130220110200 is 201102203121.

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 12130220110200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122814436 + ... + 122913164.

Almost surely, 212130220110200 is an apocalyptic number.

12130220110200 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 12130220110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917264329200).

12130220110200 is an abundant number, since it is smaller than the sum of its proper divisors (25704308548200).

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

12130220110200 is a wasteful number, since it uses less digits than its factorization.

12130220110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100002 (or 99993 counting only the distinct ones).

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

Adding to 12130220110200 its reverse (201102203121), we get a palindrome (12331322313321).

The spelling of 12130220110200 in words is "twelve trillion, one hundred thirty billion, two hundred twenty million, one hundred ten thousand, two hundred".