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12120021120 = 273523274457
BaseRepresentation
bin10110100100110100…
…01101100010000000
31011021122221212101010
423102122031202000
5144310211133440
65322354040520
7606226323354
oct132232154200
934248855333
1012120021120
11515a488289
122422b79140
1311b1c9823c
1482d941464
154ae07c580
hex2d268d880

12120021120 has 128 divisors (see below), whose sum is σ = 40312391040. Its totient is φ = 3091472384.

The previous prime is 12120021107. The next prime is 12120021161. The reversal of 12120021120 is 2112002121.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 12120021096 and 12120021105.

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 15 ways as a sum of consecutive naturals, for example, 93069 + ... + 181388.

It is an arithmetic number, because the mean of its divisors is an integer number (314940555).

Almost surely, 212120021120 is an apocalyptic number.

12120021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120021120 is an abundant number, since it is smaller than the sum of its proper divisors (28192369920).

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

12120021120 is a wasteful number, since it uses less digits than its factorization.

12120021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274502 (or 274490 counting only the distinct ones).

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

Adding to 12120021120 its reverse (2112002121), we get a palindrome (14232023241).

The spelling of 12120021120 in words is "twelve billion, one hundred twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2760 2944 3680 4416 5520 7360 8832 11040 14720 22080 44160 274457 548914 823371 1097828 1372285 1646742 2195656 2744570 3293484 4116855 4391312 5489140 6312511 6586968 8233710 8782624 10978280 12625022 13173936 16467420 17565248 18937533 21956560 25250044 26347872 31562555 32934840 35130496 37875066 43913120 50500088 52695744 63125110 65869680 75750132 87826240 94687665 101000176 105391488 126250220 131739360 151500264 175652480 189375330 202000352 252500440 263478720 303000528 378750660 404000704 505000880 526957440 606001056 757501320 808001408 1010001760 1212002112 1515002640 2020003520 2424004224 3030005280 4040007040 6060010560 12120021120