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12213431340 = 223511671791543
BaseRepresentation
bin10110101111111101…
…00010110000101100
31011112011201121002220
423113332202300230
5200003114300330
65335532115340
7611442311355
oct132776426054
934464647086
1012213431340
1151a8188810
12244a305b50
1311c8442466
1483c0d8d2c
154b737e710
hex2d7fa2c2c

12213431340 has 192 divisors, whose sum is σ = 38099496960. Its totient is φ = 2898466560.

The previous prime is 12213431323. The next prime is 12213431359. The reversal of 12213431340 is 4313431221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12213431340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7914609 + ... + 7916151.

It is an arithmetic number, because the mean of its divisors is an integer number (198434880).

Almost surely, 212213431340 is an apocalyptic number.

12213431340 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 12213431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19049748480).

12213431340 is an abundant number, since it is smaller than the sum of its proper divisors (25886065620).

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

12213431340 is a wasteful number, since it uses less digits than its factorization.

12213431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12213431340 its reverse (4313431221), we get a palindrome (16526862561).

The spelling of 12213431340 in words is "twelve billion, two hundred thirteen million, four hundred thirty-one thousand, three hundred forty".