Search a number
-
+
122312332332 = 22323397564787
BaseRepresentation
bin111000111101001100…
…0100001010000101100
3102200201011020021010200
41301322120201100230
54000443424113312
6132104533433500
711560004446041
oct1617230412054
9380634207120
10122312332332
1147966139683
121b85619b890
13b6c3289858
145cc44a51c8
1532aceb10dc
hex1c7a62142c

122312332332 has 18 divisors (see below), whose sum is σ = 309178395708. Its totient is φ = 40770777432.

The previous prime is 122312332279. The next prime is 122312332349. The reversal of 122312332332 is 233233213221.

122312332332 is a `hidden beast` number, since 1 + 22 + 312 + 3 + 323 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1223123323322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122312332296 and 122312332305.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1698782358 + ... + 1698782429.

Almost surely, 2122312332332 is an apocalyptic number.

122312332332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122312332332 is an abundant number, since it is smaller than the sum of its proper divisors (186866063376).

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

122312332332 is a wasteful number, since it uses less digits than its factorization.

122312332332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397564797 (or 3397564792 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 122312332332 its reverse (233233213221), we get a palindrome (355545545553).

The spelling of 122312332332 in words is "one hundred twenty-two billion, three hundred twelve million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3397564787 6795129574 10192694361 13590259148 20385388722 30578083083 40770777444 61156166166 122312332332