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21312120000 = 26354177601
BaseRepresentation
bin10011110110010011…
…010010010011000000
32001000021111212111210
4103312103102103000
5322121400320000
613442440410120
71353064013433
oct236623222300
961007455453
1021312120000
119047155216
124169476940
1320184973c2
14106267d81a
1584b052350
hex4f64d24c0

21312120000 has 140 divisors (see below), whose sum is σ = 70463238296. Its totient is φ = 5683200000.

The previous prime is 21312119993. The next prime is 21312120029. The reversal of 21312120000 is 2121312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31200 + ... + 208800.

Almost surely, 221312120000 is an apocalyptic number.

21312120000 is a gapful number since it is divisible by the number (20) 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 21312120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35231619148).

21312120000 is an abundant number, since it is smaller than the sum of its proper divisors (49151118296).

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

21312120000 is an equidigital number, since it uses as much as digits as its factorization.

21312120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177636 (or 177611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21312120000 its reverse (2121312), we get a palindrome (21314241312).

The spelling of 21312120000 in words is "twenty-one billion, three hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 177601 355202 532803 710404 888005 1065606 1420808 1776010 2131212 2664015 2841616 3552020 4262424 4440025 5328030 5683232 7104040 8524848 8880050 10656060 11366464 13320075 14208080 17049696 17760100 21312120 22200125 26640150 28416160 34099392 35520200 42624240 44400250 53280300 56832320 66600375 71040400 85248480 88800500 106560600 111000625 133200750 142080800 170496960 177601000 213121200 222001250 266401500 284161600 333001875 355202000 426242400 444002500 532803000 666003750 710404000 852484800 888005000 1065606000 1332007500 1420808000 1776010000 2131212000 2664015000 3552020000 4262424000 5328030000 7104040000 10656060000 21312120000