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12121323300 = 22335222719777
BaseRepresentation
bin10110100100111110…
…01011011100100100
31011021202102000122000
423102133023130210
5144311024321200
65322442005300
7606243355662
oct132237133444
934252360560
1012121323300
115160197669
1224234a6830
1311b2332b68
1482db9dc32
154ae238300
hex2d27cb724

12121323300 has 144 divisors (see below), whose sum is σ = 39141453120. Its totient is φ = 3217950720.

The previous prime is 12121323283. The next prime is 12121323301. The reversal of 12121323300 is 332312121.

12121323300 is a `hidden beast` number, since 1 + 21 + 21 + 323 + 300 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12121323301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603012 + ... + 622788.

Almost surely, 212121323300 is an apocalyptic number.

12121323300 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 12121323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19570726560).

12121323300 is an abundant number, since it is smaller than the sum of its proper divisors (27020129820).

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

12121323300 is a wasteful number, since it uses less digits than its factorization.

12121323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20027 (or 20014 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12121323300 its reverse (332312121), we get a palindrome (12453635421).

The spelling of 12121323300 in words is "twelve billion, one hundred twenty-one million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 227 270 300 450 454 540 675 681 900 908 1135 1350 1362 2043 2270 2700 2724 3405 4086 4540 5675 6129 6810 8172 10215 11350 12258 13620 17025 19777 20430 22700 24516 30645 34050 39554 40860 51075 59331 61290 68100 79108 98885 102150 118662 122580 153225 177993 197770 204300 237324 296655 306450 355986 395540 494425 533979 593310 612900 711972 889965 988850 1067958 1186620 1483275 1779930 1977700 2135916 2669895 2966550 3559860 4449825 4489379 5339790 5933100 8899650 8978758 10679580 13349475 13468137 17799300 17957516 22446895 26698950 26936274 40404411 44893790 53397900 53872548 67340685 80808822 89787580 112234475 121213233 134681370 161617644 202022055 224468950 242426466 269362740 336703425 404044110 448937900 484852932 606066165 673406850 808088220 1010110275 1212132330 1346813700 2020220550 2424264660 3030330825 4040441100 6060661650 12121323300