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1212200220200 = 235223267171007
BaseRepresentation
bin10001101000111100110…
…000110111011000101000
311021212220022120111210212
4101220330300313120220
5124330041224021300
62324513241400252
7153402310602104
oct21507460673050
94255808514725
101212200220200
11428100471102
12176b23499088
138a405082b08
1442956984904
15217ead0a935
hex11a3cc37628

1212200220200 has 144 divisors (see below), whose sum is σ = 2990221946880. Its totient is φ = 456873310080.

The previous prime is 1212200220167. The next prime is 1212200220211. The reversal of 1212200220200 is 20220022121.

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 35 ways as a sum of consecutive naturals, for example, 7003097 + ... + 7174103.

Almost surely, 21212200220200 is an apocalyptic number.

1212200220200 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 1212200220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495110973440).

1212200220200 is an abundant number, since it is smaller than the sum of its proper divisors (1778021726680).

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

1212200220200 is a wasteful number, since it uses less digits than its factorization.

1212200220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171136 (or 171104 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1212200220200 its reverse (20220022121), we get a palindrome (1232420242321).

The spelling of 1212200220200 in words is "one trillion, two hundred twelve billion, two hundred million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 67 92 100 115 134 184 200 230 268 335 460 529 536 575 670 920 1058 1150 1340 1541 1675 2116 2300 2645 2680 3082 3350 4232 4600 5290 6164 6700 7705 10580 12328 13225 13400 15410 21160 26450 30820 35443 38525 52900 61640 70886 77050 105800 141772 154100 171007 177215 283544 308200 342014 354430 684028 708860 855035 886075 1368056 1417720 1710070 1772150 3420140 3544300 3933161 4275175 6840280 7088600 7866322 8550350 11457469 15732644 17100700 19665805 22914938 31465288 34201400 39331610 45829876 57287345 78663220 90462703 91659752 98329025 114574690 157326440 180925406 196658050 229149380 263521787 286436725 361850812 393316100 452313515 458298760 527043574 572873450 723701624 786632200 904627030 1054087148 1145746900 1317608935 1809254060 2108174296 2261567575 2291493800 2635217870 3618508120 4523135150 5270435740 6061001101 6588044675 9046270300 10540871480 12122002202 13176089350 18092540600 24244004404 26352178700 30305005505 48488008808 52704357400 60610011010 121220022020 151525027525 242440044040 303050055050 606100110100 1212200220200