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12130145564220 = 22325383175952213
BaseRepresentation
bin1011000010000100010100…
…0001000111011000111100
31120221122000200220202222200
42300201011001013120330
53042220014231023340
641444302325111500
72361242213033235
oct260410501073074
946848020822880
1012130145564220
113957402a36542
12143aaa1258590
1369cb3879c298
142dd16053a08c
151607ed939330
hexb084504763c

12130145564220 has 72 divisors (see below), whose sum is σ = 36890844996096. Its totient is φ = 3226259759232.

The previous prime is 12130145564209. The next prime is 12130145564371. The reversal of 12130145564220 is 2246554103121.

12130145564220 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 1 + 4 + 5 + 5 + 642 + 2 + 0 = 666.

It is a super-2 number, since 2×121301455642202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87907167 + ... + 88045046.

It is an arithmetic number, because the mean of its divisors is an integer number (512372847168).

Almost surely, 212130145564220 is an apocalyptic number.

12130145564220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130145564220 is an abundant number, since it is smaller than the sum of its proper divisors (24760699431876).

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

12130145564220 is a wasteful number, since it uses less digits than its factorization.

12130145564220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175952611 (or 175952606 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 12130145564220 its reverse (2246554103121), we get a palindrome (14376699667341).

The spelling of 12130145564220 in words is "twelve trillion, one hundred thirty billion, one hundred forty-five million, five hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 383 766 1149 1532 1915 2298 3447 3830 4596 5745 6894 7660 11490 13788 17235 22980 34470 68940 175952213 351904426 527856639 703808852 879761065 1055713278 1583569917 1759522130 2111426556 2639283195 3167139834 3519044260 5278566390 6334279668 7917849585 10557132780 15835699170 31671398340 67389697579 134779395158 202169092737 269558790316 336948487895 404338185474 606507278211 673896975790 808676370948 1010845463685 1213014556422 1347793951580 2021690927370 2426029112844 3032536391055 4043381854740 6065072782110 12130145564220