Search a number
-
+
122020200102222 = 23237183213513667
BaseRepresentation
bin11011101111101000001010…
…101011101011100101001110
3121000001000110112200101210200
4123233220022223223211032
5111443134332211232342
61111303150040114330
734462445210550432
oct3357501253534516
9530030415611720
10122020200102222
1135974526996854
12118283ba1659a6
1353115bc95a646
14221bb486129c2
15e1905ac2894c
hex6efa0aaeb94e

122020200102222 has 24 divisors (see below), whose sum is σ = 271522427255976. Its totient is φ = 39574118951856.

The previous prime is 122020200102179. The next prime is 122020200102233. The reversal of 122020200102222 is 222201002020221.

122020200102222 is a `hidden beast` number, since 1 + 220 + 20 + 200 + 1 + 0 + 2 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122020200102195 and 122020200102204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91606756168 + ... + 91606757499.

It is an arithmetic number, because the mean of its divisors is an integer number (11313434468999).

Almost surely, 2122020200102222 is an apocalyptic number.

122020200102222 is an abundant number, since it is smaller than the sum of its proper divisors (149502227153754).

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

122020200102222 is a wasteful number, since it uses less digits than its factorization.

122020200102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183213513712 (or 183213513709 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122020200102222 its reverse (222201002020221), we get a palindrome (344221202122443).

The spelling of 122020200102222 in words is "one hundred twenty-two trillion, twenty billion, two hundred million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 183213513667 366427027334 549640541001 1099281082002 1648921623003 3297843246006 6778900005679 13557800011358 20336700017037 40673400034074 61010100051111 122020200102222