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12201011001020 = 22513718792369837
BaseRepresentation
bin1011000110001100010011…
…1011010011011010111100
31121012101221102201221222002
42301203010323103122330
53044400132304013040
641541022253241432
72366331266226242
oct261430473233274
947171842657862
1012201011001020
1139844686a3036
121450779a93278
136a67202cb2ca
14302764072792
15162599eeaa15
hexb18c4ed36bc

12201011001020 has 48 divisors (see below), whose sum is σ = 25822892370240. Its totient is φ = 4842200584704.

The previous prime is 12201011001017. The next prime is 12201011001043. The reversal of 12201011001020 is 2010011010221.

It is a super-2 number, since 2×122010110010202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201011000992 and 12201011001010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3963542 + ... + 6333378.

It is an arithmetic number, because the mean of its divisors is an integer number (537976924380).

Almost surely, 212201011001020 is an apocalyptic number.

12201011001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201011001020 is an abundant number, since it is smaller than the sum of its proper divisors (13621881369220).

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

12201011001020 is a wasteful number, since it uses less digits than its factorization.

12201011001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371862 (or 2371860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12201011001020 its reverse (2010011010221), we get a palindrome (14211022011241).

The spelling of 12201011001020 in words is "twelve trillion, two hundred one billion, eleven million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 1879 2740 3758 7516 9395 18790 37580 257423 514846 1029692 1287115 2369837 2574230 4739674 5148460 9479348 11849185 23698370 47396740 324667669 649335338 1298670676 1623338345 3246676690 4452923723 6493353380 8905847446 17811694892 22264618615 44529237230 89058474460 610050550051 1220101100102 2440202200204 3050252750255 6100505500510 12201011001020