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12112442430 = 23511219612879
BaseRepresentation
bin10110100011111010…
…10011010000111110
31011021010200211100220
423101331103100332
5144301241124210
65321523402210
7606105030144
oct132175232076
934233624326
1012112442430
115156181300
122420523366
1311b05437ca
1482c92b594
154ad581c70
hex2d1f5343e

12112442430 has 192 divisors, whose sum is σ = 34197811200. Its totient is φ = 2735251200.

The previous prime is 12112442399. The next prime is 12112442443. The reversal of 12112442430 is 3424421121.

It is a super-2 number, since 2×121124424302 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12112442430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4205731 + ... + 4208609.

It is an arithmetic number, because the mean of its divisors is an integer number (178113600).

Almost surely, 212112442430 is an apocalyptic number.

12112442430 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 12112442430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17098905600).

12112442430 is an abundant number, since it is smaller than the sum of its proper divisors (22085368770).

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

12112442430 is a wasteful number, since it uses less digits than its factorization.

12112442430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12112442430 its reverse (3424421121), we get a palindrome (15536863551).

The spelling of 12112442430 in words is "twelve billion, one hundred twelve million, four hundred forty-two thousand, four hundred thirty".