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12200010110010 = 23251771197570091
BaseRepresentation
bin1011000110001000100101…
…0001001101010000111010
31121012022100200101102121200
42301202021101031100322
53044341110042010020
641540335100515030
72366264423624532
oct261421121152072
947168320342550
1012200010110010
113983aa4720888
12145053a84ba76
136a65c0b3b6c8
143026ab1724c2
1516253c1e0590
hexb188944d43a

12200010110010 has 192 divisors, whose sum is σ = 34231899297024. Its totient is φ = 3003507763200.

The previous prime is 12200010109981. The next prime is 12200010110039. The reversal of 12200010110010 is 1001101000221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12200010109981) and next prime (12200010110039).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12200010109974 and 12200010110001.

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, 21115065 + ... + 21685155.

It is an arithmetic number, because the mean of its divisors is an integer number (178291142172).

Almost surely, 212200010110010 is an apocalyptic number.

12200010110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200010110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17115949648512).

12200010110010 is an abundant number, since it is smaller than the sum of its proper divisors (22031889187014).

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

12200010110010 is a wasteful number, since it uses less digits than its factorization.

12200010110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570389 (or 570386 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12200010110010 its reverse (1001101000221), we get a palindrome (13201111110231).

The spelling of 12200010110010 in words is "twelve trillion, two hundred billion, ten million, one hundred ten thousand, ten".