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1222012200010 = 257241409148721
BaseRepresentation
bin10001110010000101100…
…110100110010001001010
311022211020010112201201111
4101302011212212101022
5130010140110400020
62333215030240534
7154200413213200
oct21620546462112
94284203481644
101222012200010
11431286035828
12178a014b614a
138b309b1ba24
1443207b63070
1521bc2428d5a
hex11c859a644a

1222012200010 has 96 divisors (see below), whose sum is σ = 2627578653840. Its totient is φ = 407754547200.

The previous prime is 1222012199897. The next prime is 1222012200049. The reversal of 1222012200010 is 100022102221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 194499522441 + 1027512677569 = 441021^2 + 1013663^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8142450 + ... + 8291170.

Almost surely, 21222012200010 is an apocalyptic number.

1222012200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1222012200010 is an abundant number, since it is smaller than the sum of its proper divisors (1405566453830).

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

1222012200010 is a wasteful number, since it uses less digits than its factorization.

1222012200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149192 (or 149185 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1222012200010 its reverse (100022102221), we get a palindrome (1322034302231).

The spelling of 1222012200010 in words is "one trillion, two hundred twenty-two billion, twelve million, two hundred thousand, ten".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 409 410 490 574 818 1435 2009 2045 2863 2870 4018 4090 5726 10045 14315 16769 20041 20090 28630 33538 40082 83845 100205 117383 148721 167690 200410 234766 297442 586915 743605 821681 1041047 1173830 1487210 1643362 2082094 4108405 5205235 6097561 7287329 8216810 10410470 12195122 14574658 30487805 36436645 42682927 60826889 60975610 72873290 85365854 121653778 213414635 298780489 304134445 425788223 426829270 597560978 608268890 851576446 1493902445 2128941115 2493902449 2980517561 2987804890 4257882230 4987804898 5961035122 12469512245 14902587805 17457317143 24939024490 29805175610 34914634286 87286585715 122201220001 174573171430 244402440002 611006100005 1222012200010