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12020012122100 = 2252238573609599
BaseRepresentation
bin1010111011101010000010…
…0011010111111111110100
31120120002202022102020102212
42232322200203113333310
53033413441100401400
641321530051152552
72350263051154553
oct256724043277764
946502668366385
1012020012122100
113914727533394
1214216858a5758
1369263674cc58
142d7ab373bd9a
1515ca04c83335
hexaeea08d7ff4

12020012122100 has 72 divisors (see below), whose sum is σ = 27220707763200. Its totient is φ = 4598417169280.

The previous prime is 12020012122087. The next prime is 12020012122103. The reversal of 12020012122100 is 122121002021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020012122103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19413101 + ... + 20022699.

It is an arithmetic number, because the mean of its divisors is an integer number (378065385600).

Almost surely, 212020012122100 is an apocalyptic number.

12020012122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020012122100 is an abundant number, since it is smaller than the sum of its proper divisors (15200695641100).

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

12020012122100 is a wasteful number, since it uses less digits than its factorization.

12020012122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618209 (or 618202 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12020012122100 its reverse (122121002021), we get a palindrome (12142133124121).

The spelling of 12020012122100 in words is "twelve trillion, twenty billion, twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 8573 17146 34292 42865 85730 171460 197179 214325 394358 428650 609599 788716 857300 985895 1219198 1971790 2438396 3047995 3943580 4929475 6095990 9858950 12191980 14020777 15239975 19717900 28041554 30479950 56083108 60959900 70103885 140207770 280415540 350519425 701038850 1402077700 5226092227 10452184454 20904368908 26130461135 52260922270 104521844540 120200121221 130652305675 240400242442 261304611350 480800484884 522609222700 601000606105 1202001212210 2404002424420 3005003030525 6010006061050 12020012122100