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12211201100100 = 22352349116630383
BaseRepresentation
bin1011000110110010010001…
…0011011100100101000100
31121020101020121012122000010
42301230210103130211010
53100032014440200400
641545425350350220
72400141642521022
oct261544423344504
947211217178003
1012211201100100
113988817748322
12145274265b370
136a76854b7332
1430304d55b712
15162994909450
hexb1b244dc944

12211201100100 has 72 divisors (see below), whose sum is σ = 35432310659200. Its totient is φ = 3246989834880.

The previous prime is 12211201100099. The next prime is 12211201100129. The reversal of 12211201100100 is 100110211221.

It is a super-2 number, since 2×122112011001002 (a number of 27 digits) contains 22 as substring.

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, 58210492 + ... + 58419891.

Almost surely, 212211201100100 is an apocalyptic number.

12211201100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211201100100 is an abundant number, since it is smaller than the sum of its proper divisors (23221109559100).

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

12211201100100 is a wasteful number, since it uses less digits than its factorization.

12211201100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116630749 (or 116630742 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211201100100 its reverse (100110211221), we get a palindrome (12311311311321).

The spelling of 12211201100100 in words is "twelve trillion, two hundred eleven billion, two hundred one million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 349 698 1047 1396 1745 2094 3490 4188 5235 6980 8725 10470 17450 20940 26175 34900 52350 104700 116630383 233260766 349891149 466521532 583151915 699782298 1166303830 1399564596 1749455745 2332607660 2915759575 3498911490 5831519150 6997822980 8747278725 11663038300 17494557450 34989114900 40704003667 81408007334 122112011001 162816014668 203520018335 244224022002 407040036670 488448044004 610560055005 814080073340 1017600091675 1221120110010 2035200183350 2442240220020 3052800275025 4070400366700 6105600550050 12211201100100