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12055022100 = 22335211405893
BaseRepresentation
bin10110011101000100…
…10000101000010100
31011010010122120111000
423032202100220110
5144142041201400
65312112543300
7604506666012
oct131642205024
934103576430
1012055022100
115126822590
122405251b30
1311a168aa94
148250618b2
154a84dd600
hex2ce890a14

12055022100 has 144 divisors (see below), whose sum is σ = 42277919040. Its totient is φ = 2922422400.

The previous prime is 12055022051. The next prime is 12055022113. The reversal of 12055022100 is 122055021.

12055022100 is a `hidden beast` number, since 12 + 0 + 550 + 2 + 2 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173247 + ... + 232646.

It is an arithmetic number, because the mean of its divisors is an integer number (293596660).

Almost surely, 212055022100 is an apocalyptic number.

12055022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12055022100 is an abundant number, since it is smaller than the sum of its proper divisors (30222896940).

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

12055022100 is a wasteful number, since it uses less digits than its factorization.

12055022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405927 (or 405914 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 12055022100 its reverse (122055021), we get a palindrome (12177077121).

The spelling of 12055022100 in words is "twelve billion, fifty-five million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 405893 811786 1217679 1623572 2029465 2435358 3653037 4058930 4464823 4870716 6088395 7306074 8117860 8929646 10147325 10959111 12176790 13394469 14612148 17859292 18265185 20294650 21918222 22324115 24353580 26788938 30441975 36530370 40183407 40589300 43836444 44648230 53577876 54795555 60883950 66972345 73060740 80366814 89296460 91325925 109591110 111620575 120550221 121767900 133944690 160733628 182651850 200917035 219182220 223241150 241100442 267889380 273977775 334861725 365303700 401834070 446482300 482200884 547955550 602751105 669723450 803668140 1004585175 1095911100 1205502210 1339446900 2009170350 2411004420 3013755525 4018340700 6027511050 12055022100