Search a number
-
+
122020200012222 = 23259132178693093
BaseRepresentation
bin11011101111101000001010…
…101011010101100110111110
3121000001000110112111211100100
4123233220022223111212332
5111443134332200342342
61111303150034141530
734462445210024151
oct3357501253254676
9530030415454310
10122020200012222
1135974526935176
12118283ba1218a6
1353115bc9286a5
14221bb485cbc98
15e1905ac0be4c
hex6efa0aad59be

122020200012222 has 48 divisors (see below), whose sum is σ = 268878440591280. Its totient is φ = 39980990547456.

The previous prime is 122020200012211. The next prime is 122020200012229. The reversal of 122020200012222 is 222210002020221.

122020200012222 is a `hidden beast` number, since 1 + 220 + 20 + 200 + 0 + 1 + 2 + 222 = 666.

It is a super-2 number, since 2×1220202000122222 (a number of 29 digits) contains 22 as substring.

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 = 122020200012195 and 122020200012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020200012229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9689908 + ... + 18383000.

It is an arithmetic number, because the mean of its divisors is an integer number (5601634178985).

Almost surely, 2122020200012222 is an apocalyptic number.

122020200012222 is an abundant number, since it is smaller than the sum of its proper divisors (146858240579058).

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

122020200012222 is a wasteful number, since it uses less digits than its factorization.

122020200012222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706377 (or 8706374 counting only the distinct ones).

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

Adding to 122020200012222 its reverse (222210002020221), we get a palindrome (344230202032443).

The spelling of 122020200012222 in words is "one hundred twenty-two trillion, twenty billion, two hundred million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 13217 26434 39651 79302 118953 237906 779803 1559606 2339409 4678818 7018227 8693093 14036454 17386186 26079279 52158558 78237837 156475674 512892487 1025784974 1538677461 3077354922 4616032383 9232064766 114896610181 229793220362 344689830543 689379661086 1034069491629 2068138983258 6778900000679 13557800001358 20336700002037 40673400004074 61010100006111 122020200012222