Search a number
-
+
120122222112 = 2532417091049
BaseRepresentation
bin110111111011111010…
…1111010011000100000
3102111001112011010201100
41233313311322120200
53432002242101422
6131103340034400
711451512020044
oct1576765723040
9374045133640
10120122222112
1146a41954432
121b344832a00
13b43460b849
145b57680024
1531d0a997ac
hex1bf7d7a620

120122222112 has 36 divisors (see below), whose sum is σ = 341597569950. Its totient is φ = 40040740608.

The previous prime is 120122222111. The next prime is 120122222119. The reversal of 120122222112 is 211222221021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 119248664976 + 873557136 = 345324^2 + 29556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (120122222111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208545237 + ... + 208545812.

Almost surely, 2120122222112 is an apocalyptic number.

120122222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120122222112 is an abundant number, since it is smaller than the sum of its proper divisors (221475347838).

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

120122222112 is a wasteful number, since it uses less digits than its factorization.

120122222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417091065 (or 417091054 counting only the distinct ones).

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

Adding to 120122222112 its reverse (211222221021), we get a palindrome (331344443133).

The spelling of 120122222112 in words is "one hundred twenty billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 417091049 834182098 1251273147 1668364196 2502546294 3336728392 3753819441 5005092588 6673456784 7507638882 10010185176 13346913568 15015277764 20020370352 30030555528 40040740704 60061111056 120122222112