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12113113012 = 227211213101389
BaseRepresentation
bin10110100011111111…
…10110111110110100
31011021011221220020021
423101333312332310
5144301424104022
65321550014524
7606113522200
oct132177667664
934234856207
1012113113012
11515659a100
1224207a7444
1311b0719ac0
1482ca63b00
154ad6657c7
hex2d1ff6fb4

12113113012 has 216 divisors, whose sum is σ = 29554073640. Its totient is φ = 4302144000.

The previous prime is 12113113009. The next prime is 12113113013. The reversal of 12113113012 is 21031131121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1435197456 + 10677915556 = 37884^2 + 103334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113113013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31138914 + ... + 31139302.

It is an arithmetic number, because the mean of its divisors is an integer number (136824415).

Almost surely, 212113113012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12113113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14777036820).

12113113012 is an abundant number, since it is smaller than the sum of its proper divisors (17440960628).

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

12113113012 is a wasteful number, since it uses less digits than its factorization.

12113113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12113113012 its reverse (21031131121), we get a palindrome (33144244133).

The spelling of 12113113012 in words is "twelve billion, one hundred thirteen million, one hundred thirteen thousand, twelve".