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12321211200 = 2635219135101
BaseRepresentation
bin10110111100110011…
…01100001101000000
31011210200112101021120
423132121230031000
5200213212224300
65354342152240
7614221365354
oct133631541500
934720471246
1012321211200
115253003381
12247a422680
13121487b11c
1484c553464
154c1a6e3a0
hex2de66c340

12321211200 has 168 divisors, whose sum is σ = 42551725920. Its totient is φ = 3112704000.

The previous prime is 12321211187. The next prime is 12321211211. The reversal of 12321211200 is 211212321.

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 12321211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23650 + ... + 158750.

Almost surely, 212321211200 is an apocalyptic number.

12321211200 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 12321211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275862960).

12321211200 is an abundant number, since it is smaller than the sum of its proper divisors (30230514720).

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

12321211200 is a wasteful number, since it uses less digits than its factorization.

12321211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135145 (or 135130 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12321211200 its reverse (211212321), we get a palindrome (12532423521).

It can be divided in two parts, 1232121 and 1200, that added together give a palindrome (1233321).

The spelling of 12321211200 in words is "twelve billion, three hundred twenty-one million, two hundred eleven thousand, two hundred".