Search a number
-
+
1212000020 = 2257117310781
BaseRepresentation
bin100100000111101…
…1010011100010100
310010110120222110122
41020033122130110
54440233000040
6320133211112
742014554520
oct11017323424
93113528418
101212000020
11572162610
12299a90a98
1316413649a
14b6d74d80
157160b1b5
hex483da714

1212000020 has 96 divisors (see below), whose sum is σ = 3217003776. Its totient is φ = 372556800.

The previous prime is 1212000017. The next prime is 1212000047. The reversal of 1212000020 is 200002121.

It is a junction number, because it is equal to n+sod(n) for n = 1211999971 and 1212000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107030 + ... + 117810.

It is an arithmetic number, because the mean of its divisors is an integer number (33510456).

Almost surely, 21212000020 is an apocalyptic number.

1212000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608501888).

1212000020 is an abundant number, since it is smaller than the sum of its proper divisors (2005003756).

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

1212000020 is a wasteful number, since it uses less digits than its factorization.

1212000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10881 (or 10879 counting only the distinct ones).

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

The square root of 1212000020 is about 34813.7906583009. The cubic root of 1212000020 is about 1066.1890281225.

Adding to 1212000020 its reverse (200002121), we get a palindrome (1412002141).

The spelling of 1212000020 in words is "one billion, two hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 770 803 1022 1460 1540 1606 2044 2555 3212 4015 5110 5621 8030 10220 10781 11242 16060 21562 22484 28105 43124 53905 56210 75467 107810 112420 118591 150934 215620 237182 301868 377335 474364 592955 754670 787013 830137 1185910 1509340 1574026 1660274 2371820 3148052 3320548 3935065 4150685 5509091 7870130 8301370 8657143 11018182 15740260 16602740 17314286 22036364 27545455 34628572 43285715 55090910 60600001 86571430 110181820 121200002 173142860 242400004 303000005 606000010 1212000020