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12112123212 = 223372173143101
BaseRepresentation
bin10110100011111000…
…00101010101001100
31011021010002121111000
423101330011111030
5144301200420322
65321512500300
7606102230400
oct132174052514
934233077430
1012112123212
115155a83492
1224203aa690
1311b0461417
1482c887100
154ad51c3ac
hex2d1f0554c

12112123212 has 576 divisors, whose sum is σ = 41258004480. Its totient is φ = 3048192000.

The previous prime is 12112123207. The next prime is 12112123213. The reversal of 12112123212 is 21232121121.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12112123213) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119921962 + ... + 119922062.

It is an arithmetic number, because the mean of its divisors is an integer number (71628480).

Almost surely, 212112123212 is an apocalyptic number.

12112123212 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 12112123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629002240).

12112123212 is an abundant number, since it is smaller than the sum of its proper divisors (29145881268).

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

12112123212 is a wasteful number, since it uses less digits than its factorization.

12112123212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12112123212 its reverse (21232121121), we get a palindrome (33344244333).

The spelling of 12112123212 in words is "twelve billion, one hundred twelve million, one hundred twenty-three thousand, two hundred twelve".