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1220212121100 = 2235271015157241
BaseRepresentation
bin10001110000011010010…
…011110101111000001100
311022122120200101020200020
4101300122103311320030
5124442443300333400
62332320244302140
7154104664616550
oct21603223657014
94278520336606
101220212121100
11430541a27905
1217859a6a1950
138b0b0c01a8b
14430b6a69860
1521b193a72a0
hex11c1a4f5e0c

1220212121100 has 144 divisors (see below), whose sum is σ = 4035302724096. Its totient is φ = 278873280000.

The previous prime is 1220212121099. The next prime is 1220212121143. The reversal of 1220212121100 is 11212120221.

It is a super-2 number, since 2×12202121211002 (a number of 25 digits) contains 22 as substring.

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 1220212121100.

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 47 ways as a sum of consecutive naturals, for example, 21288480 + ... + 21345720.

It is an arithmetic number, because the mean of its divisors is an integer number (28022935584).

Almost surely, 21220212121100 is an apocalyptic number.

1220212121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220212121100 is an abundant number, since it is smaller than the sum of its proper divisors (2815090602996).

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

1220212121100 is a wasteful number, since it uses less digits than its factorization.

1220212121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67416 (or 67409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1220212121100 its reverse (11212120221), we get a palindrome (1231424241321).

The spelling of 1220212121100 in words is "one trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 10151 20302 30453 40604 50755 57241 60906 71057 101510 114482 121812 142114 152265 171723 203020 213171 228964 253775 284228 286205 304530 343446 355285 400687 426342 507550 572410 609060 686892 710570 761325 801374 852684 858615 1015100 1065855 1144820 1202061 1421140 1431025 1522650 1602748 1717230 1776425 2003435 2131710 2404122 2862050 3045300 3434460 3552850 4006870 4263420 4293075 4808244 5329275 5724100 6010305 7105700 8013740 8586150 10017175 10658550 12020610 17172300 20034350 21317100 24041220 30051525 40068700 60103050 120206100 581053391 1162106782 1743160173 2324213564 2905266955 3486320346 4067373737 5810533910 6972640692 8134747474 8715800865 11621067820 12202121211 14526334775 16269494948 17431601730 20336868685 24404242422 29052669550 34863203460 40673737370 43579004325 48808484844 58105339100 61010606055 81347474740 87158008650 101684343425 122021212110 174316017300 203368686850 244042424220 305053030275 406737373700 610106060550 1220212121100