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12201011012100 = 22352107380093801
BaseRepresentation
bin1011000110001100010011…
…1011010110001000000100
31121012101221102202112011110
42301203010323112020010
53044400132304341400
641541022253405020
72366331266303451
oct261430473261004
947171842675143
1012201011012100
113984468700399
121450779a99770
136a6720303371
14302764076828
15162599eede50
hexb18c4ed6204

12201011012100 has 72 divisors (see below), whose sum is σ = 35631513374688. Its totient is φ = 3223195424000.

The previous prime is 12201011012089. The next prime is 12201011012101. The reversal of 12201011012100 is 121011010221.

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

It is not an unprimeable number, because it can be changed into a prime (12201011012101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190014801 + ... + 190079000.

It is an arithmetic number, because the mean of its divisors is an integer number (494882130204).

Almost surely, 212201011012100 is an apocalyptic number.

12201011012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201011012100 is an abundant number, since it is smaller than the sum of its proper divisors (23430502362588).

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

12201011012100 is a wasteful number, since it uses less digits than its factorization.

12201011012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380093925 (or 380093918 counting only the distinct ones).

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

Adding to 12201011012100 its reverse (121011010221), we get a palindrome (12322022022321).

The spelling of 12201011012100 in words is "twelve trillion, two hundred one billion, eleven million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2675 3210 5350 6420 8025 10700 16050 32100 380093801 760187602 1140281403 1520375204 1900469005 2280562806 3800938010 4561125612 5701407015 7601876020 9502345025 11402814030 19004690050 22805628060 28507035075 38009380100 40670036707 57014070150 81340073414 114028140300 122010110121 162680146828 203350183535 244020220242 406700367070 488040440484 610050550605 813400734140 1016750917675 1220101101210 2033501835350 2440202202420 3050252753025 4067003670700 6100505506050 12201011012100