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12343211412 = 223767103107199
BaseRepresentation
bin10110111111011011…
…00111010110010100
31011212012221002220020
423133231213112110
5200234330231122
65400445505140
7614606365050
oct133755472624
934765832806
1012343211412
11526446a474
1224858721b0
1312192b1abc
1485143cc60
154c3967c5c
hex2dfb67594

12343211412 has 192 divisors, whose sum is σ = 34217164800. Its totient is φ = 3390989184.

The previous prime is 12343211411. The next prime is 12343211423. The reversal of 12343211412 is 21411234321.

It is a super-2 number, since 2×123432114122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12343211411) 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, 62026089 + ... + 62026287.

It is an arithmetic number, because the mean of its divisors is an integer number (178214400).

Almost surely, 212343211412 is an apocalyptic number.

12343211412 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 12343211412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108582400).

12343211412 is an abundant number, since it is smaller than the sum of its proper divisors (21873953388).

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

12343211412 is a wasteful number, since it uses less digits than its factorization.

12343211412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12343211412 its reverse (21411234321), we get a palindrome (33754445733).

The spelling of 12343211412 in words is "twelve billion, three hundred forty-three million, two hundred eleven thousand, four hundred twelve".