Search a number
-
+
12111133320 = 233251113317589
BaseRepresentation
bin10110100011110000…
…10011101010001000
31011021001020022121100
423101320103222020
5144300422231240
65321435341400
7606060635406
oct132170235210
934231208540
1012111133320
1151554677a0
12241bbb1860
1311b01a59a0
1482c6aa476
154ad3c3e30
hex2d1e13a88

12111133320 has 384 divisors, whose sum is σ = 47740492800. Its totient is φ = 2622412800.

The previous prime is 12111133303. The next prime is 12111133337. The reversal of 12111133320 is 2333111121.

12111133320 is a `hidden beast` number, since 1 + 211 + 1 + 133 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (12111133303) and next prime (12111133337).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12111133293 and 12111133302.

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, 1592086 + ... + 1599674.

It is an arithmetic number, because the mean of its divisors is an integer number (124324200).

Almost surely, 212111133320 is an apocalyptic number.

12111133320 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 12111133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23870246400).

12111133320 is an abundant number, since it is smaller than the sum of its proper divisors (35629359480).

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

12111133320 is a wasteful number, since it uses less digits than its factorization.

12111133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12111133320 its reverse (2333111121), we get a palindrome (14444244441).

The spelling of 12111133320 in words is "twelve billion, one hundred eleven million, one hundred thirty-three thousand, three hundred twenty".