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12321013200 = 2435210267511
BaseRepresentation
bin10110111100110001…
…11011110111010000
31011210200011022200020
423132120323313100
5200213134410300
65354334023440
7614216612166
oct133630736720
934720138606
1012321013200
115252988641
12247a347b80
13121480bc72
1484c501236
154c1a308a0
hex2de63bdd0

12321013200 has 60 divisors (see below), whose sum is σ = 39468316128. Its totient is φ = 3285603200.

The previous prime is 12321013171. The next prime is 12321013223. The reversal of 12321013200 is 231012321.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12321013200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5132556 + ... + 5134955.

Almost surely, 212321013200 is an apocalyptic number.

12321013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321013200 is an abundant number, since it is smaller than the sum of its proper divisors (27147302928).

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

12321013200 is a wasteful number, since it uses less digits than its factorization.

12321013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10267532 (or 10267521 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12321013200 its reverse (231012321), we get a palindrome (12552025521).

The spelling of 12321013200 in words is "twelve billion, three hundred twenty-one million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10267511 20535022 30802533 41070044 51337555 61605066 82140088 102675110 123210132 154012665 164280176 205350220 246420264 256687775 308025330 410700440 492840528 513375550 616050660 770063325 821400880 1026751100 1232101320 1540126650 2053502200 2464202640 3080253300 4107004400 6160506600 12321013200