Search a number
-
+
12130312312220 = 22523163797202987
BaseRepresentation
bin1011000010000100111011…
…1101001101010110011100
31120221122110022200110020112
42300201032331031112130
53042220334422442340
641444331043105152
72361246306256064
oct260411675152634
946848408613215
1012130312312220
113957489077803
12143ab290721b8
1369cb641b333b
142dd1787443a4
1516080d3c6065
hexb084ef4d59c

12130312312220 has 96 divisors (see below), whose sum is σ = 26777969100288. Its totient is φ = 4606879318272.

The previous prime is 12130312312211. The next prime is 12130312312291. The reversal of 12130312312220 is 2221321303121.

12130312312220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121303123122202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 59657567 + ... + 59860553.

It is an arithmetic number, because the mean of its divisors is an integer number (278937178128).

Almost surely, 212130312312220 is an apocalyptic number.

12130312312220 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 12130312312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13388984550144).

12130312312220 is an abundant number, since it is smaller than the sum of its proper divisors (14647656788068).

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

12130312312220 is a wasteful number, since it uses less digits than its factorization.

12130312312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203979 (or 203977 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12130312312220 its reverse (2221321303121), we get a palindrome (14351633615341).

The spelling of 12130312312220 in words is "twelve trillion, one hundred thirty billion, three hundred twelve million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 163 230 326 460 652 797 815 1594 1630 3188 3260 3749 3985 7498 7970 14996 15940 18331 18745 36662 37490 73324 74980 91655 129911 183310 202987 259822 366620 405974 519644 649555 811948 1014935 1299110 2029870 2598220 2987953 4059740 4668701 5975906 9337402 11951812 14939765 18674804 23343505 29879530 33086881 46687010 59759060 66173762 93374020 132347524 161780639 165434405 323561278 330868810 647122556 661737620 760998263 808903195 1521996526 1617806390 3043993052 3235612780 3720954697 3804991315 7441909394 7609982630 14883818788 15219965260 18604773485 26370244157 37209546970 52740488314 74419093940 105480976628 131851220785 263702441570 527404883140 606515615611 1213031231222 2426062462444 3032578078055 6065156156110 12130312312220