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12102002000020 = 225605100100001
BaseRepresentation
bin1011000000011011011110…
…0001111100000010010100
31120211221101022211120210001
42300012313201330002110
53041234400003000040
641423325530541044
72356224614502532
oct260066741740224
946757338746701
1012102002000020
1139464806a3179
121435547b97784
1369a2a1bc6b0a
142dba50899152
1515ec02cb559a
hexb01b787c094

12102002000020 has 12 divisors (see below), whose sum is σ = 25414204200084. Its totient is φ = 4840800800000.

The previous prime is 12102001999961. The next prime is 12102002000057. The reversal of 12102002000020 is 2000020020121.

It can be written as a sum of positive squares in 2 ways, for example, as 5123676710916 + 6978325289104 = 2263554^2 + 2641652^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12102001999970 and 12102002000006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302550049981 + ... + 302550050020.

It is an arithmetic number, because the mean of its divisors is an integer number (2117850350007).

Almost surely, 212102002000020 is an apocalyptic number.

12102002000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102002000020 is an abundant number, since it is smaller than the sum of its proper divisors (13312202200064).

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

12102002000020 is a wasteful number, since it uses less digits than its factorization.

12102002000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605100100010 (or 605100100008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12102002000020 its reverse (2000020020121), we get a palindrome (14102022020141).

The spelling of 12102002000020 in words is "twelve trillion, one hundred two billion, two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 605100100001 1210200200002 2420400400004 3025500500005 6051001000010 12102002000020