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12102121020 = 22351120179091
BaseRepresentation
bin10110100010101011…
…11011011000111100
31011020102021110001110
423101111323120330
5144241120333040
65320514242020
7605621221443
oct132125733074
934212243043
1012102121020
115150371710
122418b86310
1311ab36b872
1482b401d5a
154ac6e3980
hex2d157b63c

12102121020 has 96 divisors (see below), whose sum is σ = 36988874496. Its totient is φ = 2932070400.

The previous prime is 12102120991. The next prime is 12102121049. The reversal of 12102121020 is 2012120121.

It is an interprime number because it is at equal distance from previous prime (12102120991) and next prime (12102121049).

It is a super-2 number, since 2×121021210202 (a number of 21 digits) contains 22 as substring.

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 = 12102120987 and 12102121005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1326675 + ... + 1335765.

It is an arithmetic number, because the mean of its divisors is an integer number (385300776).

Almost surely, 212102121020 is an apocalyptic number.

12102121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18494437248).

12102121020 is an abundant number, since it is smaller than the sum of its proper divisors (24886753476).

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

12102121020 is a wasteful number, since it uses less digits than its factorization.

12102121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11131 (or 11129 counting only the distinct ones).

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

Adding to 12102121020 its reverse (2012120121), we get a palindrome (14114241141).

The spelling of 12102121020 in words is "twelve billion, one hundred two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2017 4034 6051 8068 9091 10085 12102 18182 20170 22187 24204 27273 30255 36364 40340 44374 45455 54546 60510 66561 88748 90910 100001 109092 110935 121020 133122 136365 181820 200002 221870 266244 272730 300003 332805 400004 443740 500005 545460 600006 665610 1000010 1200012 1331220 1500015 2000020 3000030 6000060 18336547 36673094 55009641 73346188 91682735 110019282 183365470 201702017 220038564 275048205 366730940 403404034 550096410 605106051 806808068 1008510085 1100192820 1210212102 2017020170 2420424204 3025530255 4034040340 6051060510 12102121020