Search a number
-
+
12000312231220 = 22561103229417023
BaseRepresentation
bin1010111010100000101001…
…0110010000010100110100
31120111012220101121002111201
42232220022112100110310
53033103114412344340
641304511202142244
72345664631643425
oct256501226202464
946435811532451
1012000312231220
113907338452835
1214198a8351984
136908172b09a1
142d6b6525764c
1515c25054879a
hexaea0a590534

12000312231220 has 96 divisors (see below), whose sum is σ = 25975457464320. Its totient is φ = 4655166543360.

The previous prime is 12000312231197. The next prime is 12000312231233. The reversal of 12000312231220 is 2213221300021.

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, 28567629 + ... + 28984651.

It is an arithmetic number, because the mean of its divisors is an integer number (270577681920).

Almost surely, 212000312231220 is an apocalyptic number.

12000312231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000312231220 is an abundant number, since it is smaller than the sum of its proper divisors (13975145233100).

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

12000312231220 is a wasteful number, since it uses less digits than its factorization.

12000312231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417425 (or 417423 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12000312231220 its reverse (2213221300021), we get a palindrome (14213533531241).

The spelling of 12000312231220 in words is "twelve trillion, three hundred twelve million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 103 122 206 229 244 305 412 458 515 610 916 1030 1145 1220 2060 2290 4580 6283 12566 13969 23587 25132 27938 31415 47174 55876 62830 69845 94348 117935 125660 139690 235870 279380 417023 471740 834046 1438807 1668092 2085115 2877614 4170230 5755228 7194035 8340460 14388070 25438403 28776140 42953369 50876806 85906738 95498267 101753612 127192015 171813476 190996534 214766845 254384030 381993068 429533690 477491335 508768060 859067380 954982670 1909965340 2620155509 5240311018 5825394287 9836321501 10480622036 11650788574 13100777545 19672643002 23301577148 26201555090 29126971435 39345286004 49181607505 52403110180 58253942870 98363215010 116507885740 196726430020 600015611561 1200031223122 2400062446244 3000078057805 6000156115610 12000312231220