Search a number
-
+
212112021200121 = 32737463196535957
BaseRepresentation
bin110000001110101000101101…
…101011010001110011111001
31000211000201012110100202001200
4300032220231223101303321
5210300220404411400441
62031042530050404413
762451405422660310
oct6016505553216371
91024021173322050
10212112021200121
1161649226244889
121b958892890709
139148101b36463
143a543c2ddd277
15197c7c17567b6
hexc0ea2dad1cf9

212112021200121 has 48 divisors (see below), whose sum is σ = 360393489191424. Its totient is φ = 117676296726912.

The previous prime is 212112021200071. The next prime is 212112021200129. The reversal of 212112021200121 is 121002120211212.

212112021200121 is a `hidden beast` number, since 212 + 1 + 120 + 212 + 0 + 0 + 121 = 666.

It is not a de Polignac number, because 212112021200121 - 27 = 212112021199993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212112021200094 and 212112021200103.

It is not an unprimeable number, because it can be changed into a prime (212112021200129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97188726 + ... + 99347231.

It is an arithmetic number, because the mean of its divisors is an integer number (7508197691488).

Almost surely, 2212112021200121 is an apocalyptic number.

212112021200121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212112021200121 is a deficient number, since it is larger than the sum of its proper divisors (148281467991303).

212112021200121 is a wasteful number, since it uses less digits than its factorization.

212112021200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196536470 (or 196536467 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212112021200121 its reverse (121002120211212), we get a palindrome (333114141411333).

The spelling of 212112021200121 in words is "two hundred twelve trillion, one hundred twelve billion, twenty-one million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 463 777 1389 2331 3241 4167 9723 17131 29169 51393 119917 154179 359751 1079253 196535957 589607871 1375751699 1768823613 4127255097 7271830409 12381765291 21815491227 50902812863 65446473681 90996148091 152708438589 272988444273 458125315767 636973036637 818965332819 1910919109911 3366857479367 5732757329733 10100572438101 23568002355569 30301717314303 70704007066707 212112021200121