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2012111222000 = 245311113809377
BaseRepresentation
bin11101010001111011001…
…011001011010011110000
321010100121111020200012212
4131101323023023103300
5230431300433101000
64140203502311252
7265240664123135
oct35217313132360
97110544220185
102012111222000
11706371369170
12285b63b88528
1311798376b519
146d55b18058c
15375163bcc35
hex1d47b2cb4f0

2012111222000 has 160 divisors (see below), whose sum is σ = 5354559946944. Its totient is φ = 725200896000.

The previous prime is 2012111221969. The next prime is 2012111222021. The reversal of 2012111222000 is 2221112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2081312 + ... + 2890688.

Almost surely, 22012111222000 is an apocalyptic number.

2012111222000 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 2012111222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677279973472).

2012111222000 is an abundant number, since it is smaller than the sum of its proper divisors (3342448724944).

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

2012111222000 is a wasteful number, since it uses less digits than its factorization.

2012111222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809524 (or 809508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2012111222000 its reverse (2221112102), we get a palindrome (2014332334102).

The spelling of 2012111222000 in words is "two trillion, twelve billion, one hundred eleven million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 113 125 176 200 220 226 250 275 400 440 452 500 550 565 880 904 1000 1100 1130 1243 1375 1808 2000 2200 2260 2486 2750 2825 4400 4520 4972 5500 5650 6215 9040 9944 11000 11300 12430 14125 19888 22000 22600 24860 28250 31075 45200 49720 56500 62150 99440 113000 124300 155375 226000 248600 310750 497200 621500 809377 1243000 1618754 2486000 3237508 4046885 6475016 8093770 8903147 12950032 16187540 17806294 20234425 32375080 35612588 40468850 44515735 64750160 71225176 80937700 89031470 91459601 101172125 142450352 161875400 178062940 182919202 202344250 222578675 323750800 356125880 365838404 404688500 445157350 457298005 712251760 731676808 809377000 890314700 914596010 1006055611 1112893375 1463353616 1618754000 1780629400 1829192020 2012111222 2225786750 2286490025 3561258800 3658384040 4024222444 4451573500 4572980050 5030278055 7316768080 8048444888 8903147000 9145960100 10060556110 11432450125 16096889776 17806294000 18291920200 20121112220 22864900250 25151390275 36583840400 40242224440 45729800500 50302780550 80484448880 91459601000 100605561100 125756951375 182919202000 201211122200 251513902750 402422244400 503027805500 1006055611000 2012111222000