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12010221202120 = 23513912511172657
BaseRepresentation
bin1010111011000101100011…
…1101111110101011001000
31120112011110222001222011221
42232301120331332223020
53033233413111431440
641313230333531424
72346465322545421
oct256613075765310
946464428058157
1012010221202120
113910562843289
12141b7b2943b74
1369173617898b
142d7425282648
1515c630424d4a
hexaec58f7eac8

12010221202120 has 64 divisors (see below), whose sum is σ = 27219740889600. Its totient is φ = 4769117844480.

The previous prime is 12010221202117. The next prime is 12010221202129. The reversal of 12010221202120 is 2120212201021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12010221202094 and 12010221202103.

It is not an unprimeable number, because it can be changed into a prime (12010221202129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69474832 + ... + 69647488.

It is an arithmetic number, because the mean of its divisors is an integer number (425308451400).

Almost surely, 212010221202120 is an apocalyptic number.

12010221202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010221202120 is an abundant number, since it is smaller than the sum of its proper divisors (15209519687480).

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

12010221202120 is a wasteful number, since it uses less digits than its factorization.

12010221202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185318 (or 185314 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12010221202120 its reverse (2120212201021), we get a palindrome (14130433403141).

The spelling of 12010221202120 in words is "twelve trillion, ten billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 695 1112 1390 2780 5560 12511 25022 50044 62555 100088 125110 172657 250220 345314 500440 690628 863285 1381256 1726570 1739029 3453140 3478058 6906280 6956116 8695145 13912232 17390290 23999323 34780580 47998646 69561160 95997292 119996615 191994584 239993230 479986460 959972920 2160111727 4320223454 8640446908 10800558635 17280893816 21601117270 43202234540 86404469080 300255530053 600511060106 1201022120212 1501277650265 2402044240424 3002555300530 6005110601060 12010221202120