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12001011110 = 2511217234319
BaseRepresentation
bin10110010110101000…
…01110010110100110
31010222101000112022222
423023110032112212
5144034224323420
65302503152342
7603252624404
oct131324162646
933871015288
1012001011110
1150a9292300
1223ab1456b2
131193429b0a
1481bc02474
154a38c0225
hex2cb50e5a6

12001011110 has 72 divisors (see below), whose sum is σ = 25223758560. Its totient is φ = 4107178240.

The previous prime is 12001011109. The next prime is 12001011119. The reversal of 12001011110 is 1111010021.

It is a happy number.

12001011110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001011119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 332531 + ... + 366849.

It is an arithmetic number, because the mean of its divisors is an integer number (350329980).

Almost surely, 212001011110 is an apocalyptic number.

12001011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001011110 is an abundant number, since it is smaller than the sum of its proper divisors (13222747450).

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

12001011110 is a wasteful number, since it uses less digits than its factorization.

12001011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34382 (or 34354 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12001011110 its reverse (1111010021), we get a palindrome (13112021131).

The spelling of 12001011110 in words is "twelve billion, one million, eleven thousand, one hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 289 374 578 605 935 1210 1445 1870 2057 2890 3179 4114 6358 10285 15895 20570 31790 34319 34969 68638 69938 171595 174845 343190 349690 377509 583423 755018 1166846 1887545 2917115 3775090 4152599 5834230 6417653 8305198 9918191 12835306 19836382 20762995 32088265 41525990 49590955 64176530 70594183 99181910 109100101 141188366 218200202 352970915 545500505 705941830 1091001010 1200101111 2400202222 6000505555 12001011110