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12120121020 = 2235759489109
BaseRepresentation
bin10110100100110101…
…00101111010111100
31011021200010221102010
423102122211322330
5144310222333040
65322400131220
7606230220540
oct132232457274
934250127363
1012120121020
11515a546347
122423006b10
1311b2001857
1482d969a20
154ae09be80
hex2d26a5ebc

12120121020 has 96 divisors (see below), whose sum is σ = 39441830400. Its totient is φ = 2723353344.

The previous prime is 12120120983. The next prime is 12120121121. The reversal of 12120121020 is 2012102121.

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 = 12120120987 and 12120121005.

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, 219775 + ... + 269334.

It is an arithmetic number, because the mean of its divisors is an integer number (410852400).

Almost surely, 212120121020 is an apocalyptic number.

12120121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120121020 is an abundant number, since it is smaller than the sum of its proper divisors (27321709380).

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

12120121020 is a wasteful number, since it uses less digits than its factorization.

12120121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489187 (or 489185 counting only the distinct ones).

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

Adding to 12120121020 its reverse (2012102121), we get a palindrome (14132223141).

The spelling of 12120121020 in words is "twelve billion, one hundred twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 295 354 413 420 590 708 826 885 1180 1239 1652 1770 2065 2478 3540 4130 4956 6195 8260 12390 24780 489109 978218 1467327 1956436 2445545 2934654 3423763 4891090 5869308 6847526 7336635 9782180 10271289 13695052 14673270 17118815 20542578 28857431 29346540 34237630 41085156 51356445 57714862 68475260 86572293 102712890 115429724 144287155 173144586 202002017 205425780 288574310 346289172 404004034 432861465 577148620 606006051 808008068 865722930 1010010085 1212012102 1731445860 2020020170 2424024204 3030030255 4040040340 6060060510 12120121020