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12221302320 = 2432516974031
BaseRepresentation
bin10110110000111001…
…00100011000110000
31011112201112111001200
423120130210120300
5200012123133240
65340412531200
7611566233003
oct133034443060
934481474050
1012221302320
115201674357
122450a80b00
1311c9c69c46
1483d18753a
154b7dd6930
hex2d8724630

12221302320 has 60 divisors (see below), whose sum is σ = 41043209376. Its totient is φ = 3259013760.

The previous prime is 12221302307. The next prime is 12221302321. The reversal of 12221302320 is 2320312221.

12221302320 is a `hidden beast` number, since 1 + 22 + 21 + 302 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12221302293 and 12221302302.

It is not an unprimeable number, because it can be changed into a prime (12221302321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8486296 + ... + 8487735.

Almost surely, 212221302320 is an apocalyptic number.

12221302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221302320 is an abundant number, since it is smaller than the sum of its proper divisors (28821907056).

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

12221302320 is a wasteful number, since it uses less digits than its factorization.

12221302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16974050 (or 16974041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12221302320 its reverse (2320312221), we get a palindrome (14541614541).

Subtracting from 12221302320 its reverse (2320312221), we obtain a palindrome (9900990099).

The spelling of 12221302320 in words is "twelve billion, two hundred twenty-one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16974031 33948062 50922093 67896124 84870155 101844186 135792248 152766279 169740310 203688372 254610465 271584496 305532558 339480620 407376744 509220930 611065116 678961240 763831395 814753488 1018441860 1222130232 1357922480 1527662790 2036883720 2444260464 3055325580 4073767440 6110651160 12221302320