Search a number
-
+
122112123222032 = 2423536260875883
BaseRepresentation
bin11011110000111101110001…
…101110100011100000010000
3121000100210201211020201100122
4123300331301232203200100
5112001141112021101112
61111413311315405412
734502211151305326
oct3360756156434020
9530323654221318
10122112123222032
11359aa508114259
1211842192bb3868
13531a17c019928
142222388ab5d16
15e1b63ad2d872
hex6f0f71ba3810

122112123222032 has 40 divisors (see below), whose sum is σ = 251536949515584. Its totient is φ = 57299536072064.

The previous prime is 122112123221983. The next prime is 122112123222097. The reversal of 122112123222032 is 230222321211221.

It is a super-2 number, since 2×1221121232220322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112123221992 and 122112123222010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3130418438 + ... + 3130457445.

Almost surely, 2122112123222032 is an apocalyptic number.

It is an amenable number.

122112123222032 is an abundant number, since it is smaller than the sum of its proper divisors (129424826293552).

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

122112123222032 is a wasteful number, since it uses less digits than its factorization.

122112123222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260875967 (or 6260875961 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 122112123222032 its reverse (230222321211221), we get a palindrome (352334444433253).

The spelling of 122112123222032 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-three million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 368 424 848 1219 2438 4876 9752 19504 6260875883 12521751766 25043503532 50087007064 100174014128 144000145309 288000290618 331826421799 576000581236 663652843598 1152001162472 1327305687196 2304002324944 2654611374392 5309222748784 7632007701377 15264015402754 30528030805508 61056061611016 122112123222032