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12081220800 = 263521133161
BaseRepresentation
bin10110100000001100…
…01100110011000000
31011011221221121100020
423100012030303000
5144220243031200
65314450253440
7605245453035
oct132006146300
934157847306
1012081220800
11513a597000
122411b87280
1311a6c3177c
1482872138c
154aa965ea0
hex2d018ccc0

12081220800 has 672 divisors, whose sum is σ = 45741262848. Its totient is φ = 2787840000.

The previous prime is 12081220783. The next prime is 12081220909. The reversal of 12081220800 is 802218021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198052770 + ... + 198052830.

Almost surely, 212081220800 is an apocalyptic number.

12081220800 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 12081220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22870631424).

12081220800 is an abundant number, since it is smaller than the sum of its proper divisors (33660042048).

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

12081220800 is a wasteful number, since it uses less digits than its factorization.

12081220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 12081220800 its reverse (802218021), we get a palindrome (12883438821).

The spelling of 12081220800 in words is "twelve billion, eighty-one million, two hundred twenty thousand, eight hundred".