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13212000000 = 283256367
BaseRepresentation
bin11000100110111111…
…10001111100000000
31021002202201010210100
430103133301330000
5204024233000000
610023003002400
7645256101303
oct142337617400
937082633710
1013212000000
11566a914171
122688809400
13132729aca4
148d4992b3a
15524d7ba00
hex3137f1f00

13212000000 has 378 divisors, whose sum is σ = 47745951344. Its totient is φ = 3513600000.

The previous prime is 13211999971. The next prime is 13212000017. The reversal of 13212000000 is 21231.

It is a happy number.

13212000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 35999817 + ... + 36000183.

Almost surely, 213212000000 is an apocalyptic number.

13212000000 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 13212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23872975672).

13212000000 is an abundant number, since it is smaller than the sum of its proper divisors (34533951344).

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

13212000000 is an frugal number, since it uses more digits than its factorization.

13212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 13212000000 its reverse (21231), we get a palindrome (13212021231).

The spelling of 13212000000 in words is "thirteen billion, two hundred twelve million", and thus it is an aban number.