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12426016320 = 2632583227229
BaseRepresentation
bin10111001001010010…
…11111011001000000
31012001222202000212200
423210221133121000
5200422030010240
65413004353200
7616633252554
oct134451373100
935058660780
1012426016320
1152a7186a83
1224a9545800
1312304b4aa3
1485c435864
154cad72930
hex2e4a5f640

12426016320 has 336 divisors, whose sum is σ = 43635533760. Its totient is φ = 3245027328.

The previous prime is 12426016319. The next prime is 12426016333. The reversal of 12426016320 is 2361062421.

12426016320 is a `hidden beast` number, since 1 + 2 + 4 + 26 + 0 + 1 + 632 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54261966 + ... + 54262194.

It is an arithmetic number, because the mean of its divisors is an integer number (129867660).

Almost surely, 212426016320 is an apocalyptic number.

12426016320 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 12426016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21817766880).

12426016320 is an abundant number, since it is smaller than the sum of its proper divisors (31209517440).

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

12426016320 is a wasteful number, since it uses less digits than its factorization.

12426016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12426016320 its reverse (2361062421), we get a palindrome (14787078741).

The spelling of 12426016320 in words is "twelve billion, four hundred twenty-six million, sixteen thousand, three hundred twenty".