Search a number
-
+
212112012212120 = 235268912967152081
BaseRepresentation
bin110000001110101000101101…
…001000111111011110011000
31000211000201011211110002211202
4300032220231020333132120
5210300220400111241440
62031042525130013332
762451405253404236
oct6016505510773630
91024021154402752
10212112012212120
1161649221165a89
121b95888b877248
13914810000a407
143a543c1b3d956
15197c7c0a7d615
hexc0ea2d23f798

212112012212120 has 64 divisors (see below), whose sum is σ = 477469468929600. Its totient is φ = 84806153994240.

The previous prime is 212112012212063. The next prime is 212112012212141. The reversal of 212112012212120 is 21212210211212.

212112012212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212112012212092 and 212112012212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1394654480 + ... + 1394806560.

It is an arithmetic number, because the mean of its divisors is an integer number (7460460452025).

Almost surely, 2212112012212120 is an apocalyptic number.

212112012212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112012212120 is an abundant number, since it is smaller than the sum of its proper divisors (265357456717480).

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

212112012212120 is a wasteful number, since it uses less digits than its factorization.

212112012212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167748 (or 167744 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212112012212120 its reverse (21212210211212), we get a palindrome (233324222423332).

The spelling of 212112012212120 in words is "two hundred twelve trillion, one hundred twelve billion, twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2689 5378 10756 12967 13445 21512 25934 26890 51868 53780 64835 103736 107560 129670 152081 259340 304162 518680 608324 760405 1216648 1520810 3041620 6083240 34868263 69736526 139473052 174341315 278946104 348682630 408945809 697365260 817891618 1394730520 1635783236 1972034327 2044729045 3271566472 3944068654 4089458090 7888137308 8178916180 9860171635 15776274616 16357832360 19720343270 39440686540 78881373080 5302800305303 10605600610606 21211201221212 26514001526515 42422402442424 53028003053030 106056006106060 212112012212120