Search a number
-
+
12010000001120 = 2551161671669651
BaseRepresentation
bin1010111011000100101111…
…0010001010100001100000
31120112010220112211210110022
42232301023302022201200
53033232440000013440
641313152352453012
72346456665430512
oct256611362124140
946463815753408
1012010000001120
11391045999a740
12141b75084a168
136916cc3aa704
142d7403b41bb2
1515c61accdcb5
hexaec4bc8a860

12010000001120 has 192 divisors, whose sum is σ = 31930050845952. Its totient is φ = 4231560960000.

The previous prime is 12010000001071. The next prime is 12010000001143. The reversal of 12010000001120 is 2110000001021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 12010000001098 and 12010000001107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6358295 + ... + 8027945.

It is an arithmetic number, because the mean of its divisors is an integer number (166302348156).

Almost surely, 212010000001120 is an apocalyptic number.

12010000001120 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 12010000001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15965025422976).

12010000001120 is an abundant number, since it is smaller than the sum of its proper divisors (19920050844832).

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

12010000001120 is a wasteful number, since it uses less digits than its factorization.

12010000001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669805 (or 1669797 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12010000001120 its reverse (2110000001021), we get a palindrome (14120000002141).

Subtracting from 12010000001120 its reverse (2110000001021), we obtain a palindrome (9900000000099).

The spelling of 12010000001120 in words is "twelve trillion, ten billion, one thousand, one hundred twenty".