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12211220020100 = 2252727226974027
BaseRepresentation
bin1011000110110010010101…
…1011100111101110000100
31121020101021220210212100212
42301230211123213232010
53100032034311120400
641545431304054552
72400142262401253
oct261544533475604
947211256725325
1012211220020100
1139888273a0192
121452748a64458
136a76893accba
14303051c8479a
151629963e5335
hexb1b256e7b84

12211220020100 has 72 divisors (see below), whose sum is σ = 26546849434560. Its totient is φ = 4875553710720.

The previous prime is 12211220020073. The next prime is 12211220020123. The reversal of 12211220020100 is 102002211221.

It is a super-2 number, since 2×122112200201002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164919287 + ... + 164993313.

Almost surely, 212211220020100 is an apocalyptic number.

12211220020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211220020100 is an abundant number, since it is smaller than the sum of its proper divisors (14335629414460).

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

12211220020100 is a wasteful number, since it uses less digits than its factorization.

12211220020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77037 (or 77030 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12211220020100 its reverse (102002211221), we get a palindrome (12313222231321).

The spelling of 12211220020100 in words is "twelve trillion, two hundred eleven billion, two hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 727 1454 2269 2908 3635 4538 7270 9076 11345 14540 18175 22690 36350 45380 56725 72700 74027 113450 148054 226900 296108 370135 740270 1480540 1649563 1850675 3299126 3701350 6598252 7402700 8247815 16495630 32991260 41239075 53817629 82478150 107635258 164956300 167967263 215270516 269088145 335934526 538176290 671869052 839836315 1076352580 1345440725 1679672630 2690881450 3359345260 4199181575 5381762900 8398363150 16796726300 122112200201 244224400402 488448800804 610561001005 1221122002010 2442244004020 3052805005025 6105610010050 12211220020100