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12112301332032 = 2631167367723279
BaseRepresentation
bin1011000001000001110101…
…1010110001011001000000
31120212220222002211212020020
42300100131122301121000
53041421443120111112
641432151525213440
72360041055412546
oct260203532613100
946786862755206
1012112301332032
11394a886375810
121437541261280
1369b25390a005
142dc34a699d96
1516010709e48c
hexb041d6b1640

12112301332032 has 224 divisors, whose sum is σ = 35493479147520. Its totient is φ = 3614473758720.

The previous prime is 12112301331971. The next prime is 12112301332037. The reversal of 12112301332032 is 23023310321121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12112301331993 and 12112301332011.

It is not an unprimeable number, because it can be changed into a prime (12112301332037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520298569 + ... + 520321847.

Almost surely, 212112301332032 is an apocalyptic number.

12112301332032 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 12112301332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17746739573760).

12112301332032 is an abundant number, since it is smaller than the sum of its proper divisors (23381177815488).

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

12112301332032 is a wasteful number, since it uses less digits than its factorization.

12112301332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27049 (or 27039 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12112301332032 its reverse (23023310321121), we get a palindrome (35135611653153).

The spelling of 12112301332032 in words is "twelve trillion, one hundred twelve billion, three hundred one million, three hundred thirty-two thousand, thirty-two".