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12121231300 = 2252436742073
BaseRepresentation
bin10110100100111101…
…10100111111000100
31011021202020100102121
423102132310333010
5144311013400200
65322440015324
7606242523523
oct132236647704
934252210377
1012121231300
115160134532
122423461544
1311b2300019
1482db784ba
154ae21ae1a
hex2d27b4fc4

12121231300 has 72 divisors (see below), whose sum is σ = 27317133536. Its totient is φ = 4664943360.

The previous prime is 12121231277. The next prime is 12121231301. The reversal of 12121231300 is 313212121.

It is not an unprimeable number, because it can be changed into a prime (12121231301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267064 + ... + 309136.

Almost surely, 212121231300 is an apocalyptic number.

12121231300 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 12121231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13658566768).

12121231300 is an abundant number, since it is smaller than the sum of its proper divisors (15195902236).

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

12121231300 is a wasteful number, since it uses less digits than its factorization.

12121231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42197 (or 42190 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12121231300 its reverse (313212121), we get a palindrome (12434443421).

The spelling of 12121231300 in words is "twelve billion, one hundred twenty-one million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 67 86 100 134 172 215 268 335 430 670 860 1075 1340 1675 2150 2881 3350 4300 5762 6700 11524 14405 28810 42073 57620 72025 84146 144050 168292 210365 288100 420730 841460 1051825 1809139 2103650 2818891 3618278 4207300 5637782 7236556 9045695 11275564 14094455 18091390 28188910 36182780 45228475 56377820 70472275 90456950 121212313 140944550 180913900 242424626 281889100 484849252 606061565 1212123130 2424246260 3030307825 6060615650 12121231300