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12120012102020 = 225699786608633
BaseRepresentation
bin1011000001011110100100…
…0001000001100110000100
31120220122212111000120010212
42300113221001001212010
53042033241044231040
641435505013534552
72360433125030534
oct260275101014604
946818774016125
1012120012102020
113953082955399
121438b33644458
1369bbb22534c4
142dc87c7954c4
15160408eb6d65
hexb05e9041984

12120012102020 has 24 divisors (see below), whose sum is σ = 25455663270744. Its totient is φ = 4847311915776.

The previous prime is 12120012101909. The next prime is 12120012102041. The reversal of 12120012102020 is 2020121002121.

It can be written as a sum of positive squares in 4 ways, for example, as 2095088343364 + 10024923758656 = 1447442^2 + 3166216^2 .

It is a super-2 number, since 2×121200121020202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12120012101986 and 12120012102004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43164377 + ... + 43444256.

It is an arithmetic number, because the mean of its divisors is an integer number (1060652636281).

Almost surely, 212120012102020 is an apocalyptic number.

12120012102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120012102020 is an abundant number, since it is smaller than the sum of its proper divisors (13335651168724).

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

12120012102020 is a wasteful number, since it uses less digits than its factorization.

12120012102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86615639 (or 86615637 counting only the distinct ones).

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

Adding to 12120012102020 its reverse (2020121002121), we get a palindrome (14140133104141).

The spelling of 12120012102020 in words is "twelve trillion, one hundred twenty billion, twelve million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 6997 13994 27988 34985 69970 139940 86608633 173217266 346434532 433043165 866086330 1732172660 606000605101 1212001210202 2424002420404 3030003025505 6060006051010 12120012102020