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12112211331 = 3211378339839
BaseRepresentation
bin10110100011111000…
…11010110110000011
31011021010021002100200
423101330122312003
5144301211230311
65321514420243
7606103045323
oct132174326603
934233232320
1012112211331
115156033710
122420431683
1311b049256c
1482c8ab283
154ad538556
hex2d1f1ad83

12112211331 has 48 divisors (see below), whose sum is σ = 19838407680. Its totient is φ = 7056106560.

The previous prime is 12112211273. The next prime is 12112211347. The reversal of 12112211331 is 13311221121.

12112211331 is a `hidden beast` number, since 12 + 112 + 211 + 331 = 666.

It is not a de Polignac number, because 12112211331 - 213 = 12112203139 is a prime.

It is a super-2 number, since 2×121122113312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12112211231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284110 + ... + 323948.

It is an arithmetic number, because the mean of its divisors is an integer number (413300160).

Almost surely, 212112211331 is an apocalyptic number.

12112211331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12112211331 is a deficient number, since it is larger than the sum of its proper divisors (7726196349).

12112211331 is a wasteful number, since it uses less digits than its factorization.

12112211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39976 (or 39973 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12112211331 its reverse (13311221121), we get a palindrome (25423432452).

The spelling of 12112211331 in words is "twelve billion, one hundred twelve million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 37 83 99 111 249 333 407 747 913 1221 2739 3071 3663 8217 9213 27639 33781 39839 101343 119517 304029 358551 438229 1314687 1474043 3306637 3944061 4422129 9919911 13266387 16214473 29759733 36373007 48643419 109119021 122345569 145930257 327357063 367036707 1101110121 1345801259 4037403777 12112211331