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12426634220 = 225721113219359
BaseRepresentation
bin10111001001010111…
…10110001111101100
31012002000220102110212
423210223312033230
5200422204243340
65413025521552
7616641435200
oct134453661754
935060812425
1012426634220
1152a7569240
1224a97a32b8
131230670100
1485c556b00
154cae45a65
hex2e4af63ec

12426634220 has 432 divisors, whose sum is σ = 37852012800. Its totient is φ = 3377687040.

The previous prime is 12426634219. The next prime is 12426634229. The reversal of 12426634220 is 2243662421.

Added to its reverse (2243662421) it gives a square (14670296641 = 1211212).

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12426634229) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34614401 + ... + 34614759.

It is an arithmetic number, because the mean of its divisors is an integer number (87620400).

Almost surely, 212426634220 is an apocalyptic number.

12426634220 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 12426634220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926006400).

12426634220 is an abundant number, since it is smaller than the sum of its proper divisors (25425378580).

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

12426634220 is a wasteful number, since it uses less digits than its factorization.

12426634220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 12426634220 its reverse (2243662421), we get a square (14670296641 = 1211212).

It can be divided in two parts, 12426 and 634220, that added together give a palindrome (646646).

The spelling of 12426634220 in words is "twelve billion, four hundred twenty-six million, six hundred thirty-four thousand, two hundred twenty".