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12112010320212 = 223211376744327851
BaseRepresentation
bin1011000001000000110000…
…0100101001100101010100
31120212220012211020221001200
42300100030010221211110
53041420344120221322
641432103011552500
72360030623016565
oct260201404514524
946786184227050
1012112010320212
11394a747080280
12143747b8bb730
1369b20853837a
142dc31db8616c
151600db7688ac
hexb040c129954

12112010320212 has 288 divisors, whose sum is σ = 34894301105664. Its totient is φ = 3509741664000.

The previous prime is 12112010320169. The next prime is 12112010320237. The reversal of 12112010320212 is 21202301021121.

12112010320212 is a `hidden beast` number, since 1 + 2 + 1 + 120 + 10 + 320 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434872087 + ... + 434899937.

It is an arithmetic number, because the mean of its divisors is an integer number (121160767728).

Almost surely, 212112010320212 is an apocalyptic number.

12112010320212 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 12112010320212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447150552832).

12112010320212 is an abundant number, since it is smaller than the sum of its proper divisors (22782290785452).

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

12112010320212 is a wasteful number, since it uses less digits than its factorization.

12112010320212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28419 (or 28414 counting only the distinct ones).

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

Adding to 12112010320212 its reverse (21202301021121), we get a palindrome (33314311341333).

The spelling of 12112010320212 in words is "twelve trillion, one hundred twelve billion, ten million, three hundred twenty thousand, two hundred twelve".