Search a number
-
+
12001201110 = 2335409108677
BaseRepresentation
bin10110010110101001…
…11100101111010110
31010222101101011222000
423023110330233112
5144034301413420
65302511220130
7603254345343
oct131324745726
933871334860
1012001201110
1150a9402028
1223ab217646
131193495442
1481bc517ca
154a390b690
hex2cb53cbd6

12001201110 has 64 divisors (see below), whose sum is σ = 32081745600. Its totient is φ = 3192466176.

The previous prime is 12001201099. The next prime is 12001201111. The reversal of 12001201110 is 1110210021.

It is a happy number.

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 = 12001201092 and 12001201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001201111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56092 + ... + 164768.

It is an arithmetic number, because the mean of its divisors is an integer number (501277275).

Almost surely, 212001201110 is an apocalyptic number.

12001201110 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 12001201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040872800).

12001201110 is an abundant number, since it is smaller than the sum of its proper divisors (20080544490).

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

12001201110 is a wasteful number, since it uses less digits than its factorization.

12001201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109102 (or 109096 counting only the distinct ones).

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

Adding to 12001201110 its reverse (1110210021), we get a palindrome (13111411131).

The spelling of 12001201110 in words is "twelve billion, one million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 409 818 1227 2045 2454 3681 4090 6135 7362 11043 12270 18405 22086 36810 55215 108677 110430 217354 326031 543385 652062 978093 1086770 1630155 1956186 2934279 3260310 4890465 5868558 9780930 14671395 29342790 44448893 88897786 133346679 222244465 266693358 400040037 444488930 666733395 800080074 1200120111 1333466790 2000200185 2400240222 4000400370 6000600555 12001201110