Search a number
-
+
122221012221 = 32711281962563
BaseRepresentation
bin111000111010011110…
…0001010010011111101
3102200110210101201111100
41301310330022103331
54000302034342341
6132051512243313
711554515314460
oct1616474122375
9380423351440
10122221012221
1147919636510
121b82b6a0539
13b6aa394a99
145cb62d32d7
1532a4e733b6
hex1c74f0a4fd

122221012221 has 48 divisors (see below), whose sum is σ = 220185239040. Its totient is φ = 63467897760.

The previous prime is 122221012189. The next prime is 122221012223. The reversal of 122221012221 is 122210122221.

It is a happy number.

122221012221 is a `hidden beast` number, since 1 + 222 + 210 + 12 + 221 = 666.

It is not a de Polignac number, because 122221012221 - 25 = 122221012189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122221012194 and 122221012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221012223) 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, 1922286 + ... + 1984848.

It is an arithmetic number, because the mean of its divisors is an integer number (4587192480).

Almost surely, 2122221012221 is an apocalyptic number.

122221012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122221012221 is a deficient number, since it is larger than the sum of its proper divisors (97964226819).

122221012221 is a wasteful number, since it uses less digits than its factorization.

122221012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65406 (or 65403 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122221012221 its reverse (122210122221), we get a palindrome (244431134442).

Subtracting from 122221012221 its reverse (122210122221), we obtain a square (10890000 = 33002).

It can be divided in two parts, 1 and 22221012221, that added together give a palindrome (22221012222).

The spelling of 122221012221 in words is "one hundred twenty-two billion, two hundred twenty-one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 2819 8457 19733 25371 31009 59199 62563 93027 177597 187689 217063 279081 437941 563067 651189 688193 1313823 1953567 2064579 3941469 4817351 6193737 14452053 43356159 176365097 529095291 1234555679 1587285873 1940016067 3703667037 5820048201 11111001111 13580112469 17460144603 40740337407 122221012221