Search a number
-
+
12000211020020 = 22561711071294753
BaseRepresentation
bin1010111010100000010001…
…0100001010100011110100
31120111012122100011000211202
42232220010110022203310
53033102413010120040
641304453144552032
72345662262445146
oct256500424124364
946435570130752
1012000211020020
113907296304313
12141987a482618
136907cc334ac2
142d6b55a2cc96
1515c246705015
hexaea0450a8f4

12000211020020 has 96 divisors (see below), whose sum is σ = 26217090498816. Its totient is φ = 4611388723200.

The previous prime is 12000211019983. The next prime is 12000211020097. The reversal of 12000211020020 is 2002011200021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12000211019983 and 12000211020010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8620964 + ... + 9915716.

It is an arithmetic number, because the mean of its divisors is an integer number (273094692696).

Almost surely, 212000211020020 is an apocalyptic number.

12000211020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000211020020 is an abundant number, since it is smaller than the sum of its proper divisors (14216879478796).

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

12000211020020 is a wasteful number, since it uses less digits than its factorization.

12000211020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295001 (or 1294999 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12000211020020 its reverse (2002011200021), we get a palindrome (14002222220041).

The spelling of 12000211020020 in words is "twelve trillion, two hundred eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 61 71 107 122 142 214 244 284 305 355 428 535 610 710 1070 1220 1420 2140 4331 6527 7597 8662 13054 15194 17324 21655 26108 30388 32635 37985 43310 65270 75970 86620 130540 151940 463417 926834 1294753 1853668 2317085 2589506 4634170 5179012 6473765 9268340 12947530 25895060 78979933 91927463 138538571 157959866 183854926 277077142 315919732 367709852 394899665 459637315 554154284 692692855 789799330 919274630 1385385710 1579598660 1838549260 2770771420 5607575243 8450852831 9836238541 11215150486 16901705662 19672477082 22430300972 28037876215 33803411324 39344954164 42254264155 49181192705 56075752430 84508528310 98362385410 112151504860 169017056620 196724770820 600010551001 1200021102002 2400042204004 3000052755005 6000105510010 12000211020020