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12214431420 = 2235238985213
BaseRepresentation
bin10110110000000100…
…10110111010111100
31011112020121101221220
423120002112322330
5200003343301140
65340005353340
7611453645142
oct133002267274
934466541856
1012214431420
1151a8801124
12244a708850
1311c8702719
1483c2b9592
154b74cabd0
hex2d8096ebc

12214431420 has 48 divisors (see below), whose sum is σ = 34215125280. Its totient is φ = 3255780096.

The previous prime is 12214431407. The next prime is 12214431421. The reversal of 12214431420 is 2413441221.

12214431420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12214431421) 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 15 ways as a sum of consecutive naturals, for example, 100734 + ... + 185946.

It is an arithmetic number, because the mean of its divisors is an integer number (712815110).

Almost surely, 212214431420 is an apocalyptic number.

12214431420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12214431420 is an abundant number, since it is smaller than the sum of its proper divisors (22000693860).

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

12214431420 is a wasteful number, since it uses less digits than its factorization.

12214431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87614 (or 87612 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12214431420 its reverse (2413441221), we get a palindrome (14627872641).

The spelling of 12214431420 in words is "twelve billion, two hundred fourteen million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2389 4778 7167 9556 11945 14334 23890 28668 35835 47780 71670 85213 143340 170426 255639 340852 426065 511278 852130 1022556 1278195 1704260 2556390 5112780 203573857 407147714 610721571 814295428 1017869285 1221443142 2035738570 2442886284 3053607855 4071477140 6107215710 12214431420