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12201200221220 = 2252340182180567
BaseRepresentation
bin1011000110001101000000…
…1101000111110000100100
31121012102102121210100021122
42301203100031013300210
53044401024224034340
641541053133033112
72366336054455523
oct261432015076044
947172377710248
1012201200221220
113984555492a6a
121450811325798
136a675057cb1a
1430278124a4ba
151625ab925db5
hexb18d0347c24

12201200221220 has 96 divisors (see below), whose sum is σ = 26836197889536. Its totient is φ = 4650914048000.

The previous prime is 12201200221201. The next prime is 12201200221247. The reversal of 12201200221220 is 2212200210221.

It is a happy 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, 151401377 + ... + 151481943.

It is an arithmetic number, because the mean of its divisors is an integer number (279543728016).

Almost surely, 212201200221220 is an apocalyptic number.

12201200221220 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 12201200221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13418098944768).

12201200221220 is an abundant number, since it is smaller than the sum of its proper divisors (14634997668316).

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

12201200221220 is a wasteful number, since it uses less digits than its factorization.

12201200221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81821 (or 81819 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12201200221220 its reverse (2212200210221), we get a palindrome (14413400431441).

The spelling of 12201200221220 in words is "twelve trillion, two hundred one billion, two hundred million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 401 460 802 821 1604 1642 2005 3284 4010 4105 8020 8210 9223 16420 18446 18883 36892 37766 46115 75532 80567 92230 94415 161134 184460 188830 322268 329221 377660 402835 658442 805670 1316884 1611340 1646105 1853041 3292210 3706082 6584420 7412164 7572083 9265205 15144166 18530410 30288332 32307367 37060820 37860415 64614734 66145507 75720830 129229468 132291014 151441660 161536835 264582028 323073670 330727535 646147340 661455070 743069441 1322910140 1486138882 1521346661 2972277764 3042693322 3715347205 6085386644 7430694410 7606733305 14861388820 15213466610 26524348307 30426933220 53048696614 106097393228 132621741535 265243483070 530486966140 610060011061 1220120022122 2440240044244 3050300055305 6100600110610 12201200221220