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12213121200 = 2435271453943
BaseRepresentation
bin10110101111111010…
…10111000010110000
31011112011010211200020
423113331113002300
5200003024334300
65335521323440
7611436550230
oct132775270260
934464124606
1012213121200
1151a7a967a5
12244a196580
1311c8364247
1483c057cc0
154b731c8a0
hex2d7f570b0

12213121200 has 120 divisors (see below), whose sum is σ = 44711685888. Its totient is φ = 2791568640.

The previous prime is 12213121111. The next prime is 12213121211. The reversal of 12213121200 is 212131221.

It is a tau number, because it is divible by the number of its divisors (120).

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 12213121200.

It is an unprimeable number.

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, 718572 + ... + 735371.

Almost surely, 212213121200 is an apocalyptic number.

12213121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213121200 is an abundant number, since it is smaller than the sum of its proper divisors (32498564688).

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

12213121200 is a wasteful number, since it uses less digits than its factorization.

12213121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453971 (or 1453960 counting only the distinct ones).

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

Adding to 12213121200 its reverse (212131221), we get a palindrome (12425252421).

The spelling of 12213121200 in words is "twelve billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 1453943 2907886 4361829 5815772 7269715 8723658 10177601 11631544 14539430 17447316 20355202 21809145 23263088 29078860 30532803 34894632 36348575 40710404 43618290 50888005 58157720 61065606 69789264 72697150 81420808 87236580 101776010 109045725 116315440 122131212 145394300 152664015 162841616 174473160 203552020 218091450 244262424 254440025 290788600 305328030 348946320 407104040 436182900 488524848 508880050 581577200 610656060 763320075 814208080 872365800 1017760100 1221312120 1526640150 1744731600 2035520200 2442624240 3053280300 4071040400 6106560600 12213121200