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12421357312 = 287213192211
BaseRepresentation
bin10111001000101111…
…01101111100000000
31012001122222022220211
423210113231330000
5200414331413222
65412320443504
7616545536500
oct134427557400
935048868824
1012421357312
1152a4594661
1224a7a79594
13122c543290
1485b981a00
154ca752277
hex2e45edf00

12421357312 has 324 divisors, whose sum is σ = 32937044616. Its totient is φ = 4633251840.

The previous prime is 12421357307. The next prime is 12421357313. The reversal of 12421357312 is 21375312421.

12421357312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (10080) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421357313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58868887 + ... + 58869097.

Almost surely, 212421357312 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 12421357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468522308).

12421357312 is an abundant number, since it is smaller than the sum of its proper divisors (20515687304).

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

12421357312 is a wasteful number, since it uses less digits than its factorization.

12421357312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 252 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

Adding to 12421357312 its reverse (21375312421), we get a palindrome (33796669733).

The spelling of 12421357312 in words is "twelve billion, four hundred twenty-one million, three hundred fifty-seven thousand, three hundred twelve".