Search a number
-
+
12011111112 = 233711132631901
BaseRepresentation
bin10110010111110101…
…10000001011001000
31011000002000122221010
423023322300023020
5144044321023422
65303503443520
7603434521440
oct131372601310
934002018833
1012011111112
115103a60610
1223b25b65a0
131195555050
1481d2b1120
154a4717b0c
hex2cbeb02c8

12011111112 has 256 divisors, whose sum is σ = 40491601920. Its totient is φ = 2867328000.

The previous prime is 12011111111. The next prime is 12011111113. The reversal of 12011111112 is 21111111021.

It is an interprime number because it is at equal distance from previous prime (12011111111) and next prime (12011111113).

It is a super-3 number, since 3×120111111123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12011111111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6317362 + ... + 6319262.

It is an arithmetic number, because the mean of its divisors is an integer number (158170320).

Almost surely, 212011111112 is an apocalyptic number.

12011111112 is a gapful number since it is divisible by the number (12) 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 12011111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20245800960).

12011111112 is an abundant number, since it is smaller than the sum of its proper divisors (28480490808).

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

12011111112 is a wasteful number, since it uses less digits than its factorization.

12011111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12011111112 its reverse (21111111021), we get a palindrome (33122222133).

Subtracting 12011111112 from its reverse (21111111021), we obtain a palindrome (9099999909).

The spelling of 12011111112 in words is "twelve billion, eleven million, one hundred eleven thousand, one hundred twelve".