Search a number
-
+
12011101212110 = 257111319231179599
BaseRepresentation
bin1010111011001000110101…
…1010111100110111001110
31120112020202021222002221112
42232302031122330313032
53033242213402241420
641313453531332022
72346526166526260
oct256621532746716
946466667862845
1012011101212110
113910974561870
12141b9b95b1012
13691846593650
142d74aa0b7b30
1515c6828038c5
hexaec8d6bcdce

12011101212110 has 768 divisors, whose sum is σ = 31854477312000. Its totient is φ = 3145292467200.

The previous prime is 12011101212107. The next prime is 12011101212161. The reversal of 12011101212110 is 1121210111021.

It is a super-2 number, since 2×120111012121102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20051921591 + ... + 20051922189.

It is an arithmetic number, because the mean of its divisors is an integer number (41477184000).

Almost surely, 212011101212110 is an apocalyptic number.

12011101212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12011101212110 is an abundant number, since it is smaller than the sum of its proper divisors (19843376099890).

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

12011101212110 is a wasteful number, since it uses less digits than its factorization.

12011101212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12011101212110 its reverse (1121210111021), we get a palindrome (13132311323131).

The spelling of 12011101212110 in words is "twelve trillion, eleven billion, one hundred one million, two hundred twelve thousand, one hundred ten".