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1222101201000 = 233531307311681
BaseRepresentation
bin10001110010001010111…
…010000111000001101000
311022211110100000110010110
4101302022322013001220
5130010330401413000
62333231530014320
7154202543545251
oct21621272070150
94284410013113
101222101201000
114313212a4569
12178a272773a0
138b3223b1034
14432158cdb28
1521bca159850
hex11c8ae87068

1222101201000 has 128 divisors (see below), whose sum is σ = 3815885324160. Its totient is φ = 325643264000.

The previous prime is 1222101200981. The next prime is 1222101201007. The reversal of 1222101201000 is 1021012221.

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

It is not an unprimeable number, because it can be changed into a prime (1222101201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3765160 + ... + 4076840.

It is an arithmetic number, because the mean of its divisors is an integer number (29811604095).

Almost surely, 21222101201000 is an apocalyptic number.

1222101201000 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 1222101201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907942662080).

1222101201000 is an abundant number, since it is smaller than the sum of its proper divisors (2593784123160).

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

1222101201000 is a wasteful number, since it uses less digits than its factorization.

1222101201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313012 (or 312998 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1222101201000 its reverse (1021012221), we get a palindrome (1223122213221).

The spelling of 1222101201000 in words is "one trillion, two hundred twenty-two billion, one hundred one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1307 1500 2614 3000 3921 5228 6535 7842 10456 13070 15684 19605 26140 31368 32675 39210 52280 65350 78420 98025 130700 156840 163375 196050 261400 311681 326750 392100 490125 623362 653500 784200 935043 980250 1246724 1307000 1558405 1870086 1960500 2493448 3116810 3740172 3921000 4675215 6233620 7480344 7792025 9350430 12467240 15584050 18700860 23376075 31168100 37401720 38960125 46752150 62336200 77920250 93504300 116880375 155840500 187008600 233760750 311681000 407367067 467521500 814734134 935043000 1222101201 1629468268 2036835335 2444202402 3258936536 4073670670 4888404804 6110506005 8147341340 9776809608 10184176675 12221012010 16294682680 20368353350 24442024020 30552530025 40736706700 48884048040 50920883375 61105060050 81473413400 101841766750 122210120100 152762650125 203683533500 244420240200 305525300250 407367067000 611050600500 1222101201000