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12220102100100 = 22352172396098451
BaseRepresentation
bin1011000111010011011011…
…0110000100010010000100
31121021020012221000021112210
42301310312312010102010
53100203232114200400
641553500513543420
72400605344003236
oct261646666042204
947236187007483
1012220102100100
113991575070374
121454407574b70
136a84735b403b
14303655762256
15162d1607c950
hexb1d36d84484

12220102100100 has 72 divisors (see below), whose sum is σ = 37436642214048. Its totient is φ = 3067006016000.

The previous prime is 12220102100039. The next prime is 12220102100123. The reversal of 12220102100100 is 100120102221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 1198044126 + ... + 1198054325.

It is an arithmetic number, because the mean of its divisors is an integer number (519953364084).

Almost surely, 212220102100100 is an apocalyptic number.

12220102100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220102100100 is an abundant number, since it is smaller than the sum of its proper divisors (25216540113948).

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

12220102100100 is a wasteful number, since it uses less digits than its factorization.

12220102100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396098485 (or 2396098478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12220102100100 its reverse (100120102221), we get a palindrome (12320222202321).

The spelling of 12220102100100 in words is "twelve trillion, two hundred twenty billion, one hundred two million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 2396098451 4792196902 7188295353 9584393804 11980492255 14376590706 23960984510 28753181412 35941476765 40733673667 47921969020 59902461275 71882953530 81467347334 119804922550 122201021001 143765907060 162934694668 179707383825 203668368335 239609845100 244402042002 359414767650 407336736670 488804084004 611005105005 718829535300 814673473340 1018341841675 1222010210010 2036683683350 2444020420020 3055025525025 4073367366700 6110051050050 12220102100100