Search a number
-
+
12021434144500 = 22531111329192931
BaseRepresentation
bin1010111011101111010101…
…0011111101011011110100
31120120020102102012110110011
42232323311103331123310
53033424344120111000
641322323130110004
72350343226151504
oct256736523753364
946506372173404
1012021434144500
1139152971a3910
121421a01b7b304
1369280223c521
142d7baa543a04
1515ca89a282ba
hexaeef54fd6f4

12021434144500 has 96 divisors (see below), whose sum is σ = 28644289914240. Its totient is φ = 4371022080000.

The previous prime is 12021434144483. The next prime is 12021434144527. The reversal of 12021434144500 is 544143412021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62213035 + ... + 62405965.

It is an arithmetic number, because the mean of its divisors is an integer number (298378019940).

Almost surely, 212021434144500 is an apocalyptic number.

12021434144500 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 12021434144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322144957120).

12021434144500 is an abundant number, since it is smaller than the sum of its proper divisors (16622855769740).

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

12021434144500 is a wasteful number, since it uses less digits than its factorization.

12021434144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204290 (or 204278 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 12021434144500 its reverse (544143412021), we get a palindrome (12565577556521).

The spelling of 12021434144500 in words is "twelve trillion, twenty-one billion, four hundred thirty-four million, one hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 2750 5500 11329 22658 45316 56645 113290 124619 192931 226580 249238 283225 385862 498476 566450 623095 771724 964655 1132900 1246190 1416125 1929310 2122241 2492380 2832250 3115475 3858620 4244482 4823275 5664500 6230950 8488964 9646550 10611205 12461900 15577375 19293100 21222410 24116375 31154750 42444820 48232750 53056025 62309500 96465500 106112050 212224100 265280125 530560250 1061120500 2185715299 4371430598 8742861196 10928576495 21857152990 24042868289 43714305980 48085736578 54642882475 96171473156 109285764950 120214341445 218571529900 240428682890 273214412375 480857365780 546428824750 601071707225 1092857649500 1202143414450 2404286828900 3005358536125 6010717072250 12021434144500