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12010110001000 = 235312010110001
BaseRepresentation
bin1010111011000101001001…
…0101110001111101101000
31120112011012012211100220221
42232301102111301331220
53033233201130013000
641313211322255424
72346462502422046
oct256612225617550
946464165740827
1012010110001000
113910505aa1231
12141b781657574
136917191129b7
142d74145b7396
1515c6257ab61a
hexaec52571f68

12010110001000 has 32 divisors (see below), whose sum is σ = 28103657404680. Its totient is φ = 4804044000000.

The previous prime is 12010110000989. The next prime is 12010110001003. The reversal of 12010110001000 is 10001101021.

It can be written as a sum of positive squares in 4 ways, for example, as 2113586777124 + 9896523223876 = 1453818^2 + 3145874^2 .

It is a super-2 number, since 2×120101100010002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12010110001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6005054001 + ... + 6005056000.

Almost surely, 212010110001000 is an apocalyptic number.

12010110001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010110001000 is an abundant number, since it is smaller than the sum of its proper divisors (16093547403680).

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

12010110001000 is a wasteful number, since it uses less digits than its factorization.

12010110001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010110022 (or 12010110008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12010110001000 its reverse (10001101021), we get a palindrome (12020111102021).

The spelling of 12010110001000 in words is "twelve trillion, ten billion, one hundred ten million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12010110001 24020220002 48040440004 60050550005 96080880008 120101100010 240202200020 300252750025 480404400040 600505500050 1201011000100 1501263750125 2402022000200 3002527500250 6005055000500 12010110001000