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12112230132 = 22332953131557
BaseRepresentation
bin10110100011111000…
…11111011011110100
31011021010022001011000
423101330133123310
5144301212331012
65321515043300
7606103154202
oct132174373364
934233261130
1012112230132
115156046852
122420440530
1311b049aca2
1482c8b4072
154ad53dddc
hex2d1f1f6f4

12112230132 has 192 divisors, whose sum is σ = 33410361600. Its totient is φ = 3788628480.

The previous prime is 12112230113. The next prime is 12112230133. The reversal of 12112230132 is 23103221121.

It is a super-2 number, since 2×121122301322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112230133) 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, 21745198 + ... + 21745754.

It is an arithmetic number, because the mean of its divisors is an integer number (174012300).

Almost surely, 212112230132 is an apocalyptic number.

12112230132 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 12112230132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16705180800).

12112230132 is an abundant number, since it is smaller than the sum of its proper divisors (21298131468).

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

12112230132 is a wasteful number, since it uses less digits than its factorization.

12112230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12112230132 its reverse (23103221121), we get a palindrome (35215451253).

The spelling of 12112230132 in words is "twelve billion, one hundred twelve million, two hundred thirty thousand, one hundred thirty-two".