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12696000000 = 29356232
BaseRepresentation
bin10111101001011110…
…11001011000000000
31012202210202121212020
423310233121120000
5202000134000000
65455451201440
7626422135155
oct136457313000
935683677766
1012696000000
115425619792
122563a46280
131274403348
1488623422c
154e4902ba0
hex2f4bd9600

12696000000 has 420 divisors, whose sum is σ = 44196231156. Its totient is φ = 3238400000.

The previous prime is 12695999999. The next prime is 12696000001. The reversal of 12696000000 is 69621.

It is an interprime number because it is at equal distance from previous prime (12695999999) and next prime (12696000001).

It is a super-2 number, since 2×126960000002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12696000001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 551999989 + ... + 552000011.

Almost surely, 212696000000 is an apocalyptic number.

12696000000 is a gapful number since it is divisible by the number (10) 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 12696000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22098115578).

12696000000 is an abundant number, since it is smaller than the sum of its proper divisors (31500231156).

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

12696000000 is an frugal number, since it uses more digits than its factorization.

12696000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Multiplying 12696000000 by its sum of digits (24), we get a square (304704000000 = 5520002).

12696000000 divided by its sum of digits (24) gives a square (529000000 = 230002).

Adding to 12696000000 its reverse (69621), we get a palindrome (12696069621).

The spelling of 12696000000 in words is "twelve billion, six hundred ninety-six million", and thus it is an aban number.