Search a number
-
+
120011322222 = 2351197231431
BaseRepresentation
bin110111111000100111…
…0110111001101101110
3102110202210110211200000
41233301032313031232
53431240344302342
6131044335045130
711445664256541
oct1576116671556
9373683424600
10120011322222
1146995298730
121b3136707a6
13b41764c9cc
145b46a52858
1531c5e9044c
hex1bf13b736e

120011322222 has 96 divisors (see below), whose sum is σ = 297203122944. Its totient is φ = 35991993600.

The previous prime is 120011322217. The next prime is 120011322227. The reversal of 120011322222 is 222223110021.

120011322222 is a `hidden beast` number, since 120 + 0 + 1 + 1 + 322 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (120011322217) and next prime (120011322227).

It is a super-2 number, since 2×1200113222222 (a number of 23 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 = 120011322195 and 120011322204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011322227) 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, 402847 + ... + 634277.

It is an arithmetic number, because the mean of its divisors is an integer number (3095865864).

Almost surely, 2120011322222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120011322222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148601561472).

120011322222 is an abundant number, since it is smaller than the sum of its proper divisors (177191800722).

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

120011322222 is a wasteful number, since it uses less digits than its factorization.

120011322222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231556 (or 231544 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120011322222 its reverse (222223110021), we get a palindrome (342234432243).

The spelling of 120011322222 in words is "one hundred twenty billion, eleven million, three hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 97 99 162 194 198 243 291 297 486 582 594 873 891 1067 1746 1782 2134 2619 2673 3201 5238 5346 6402 7857 9603 15714 19206 23571 28809 47142 57618 86427 172854 231431 259281 462862 518562 694293 1388586 2082879 2545741 4165758 5091482 6248637 7637223 12497274 15274446 18745911 22448807 22911669 37491822 44897614 45823338 56237733 67346421 68735007 112475466 134692842 137470014 202039263 206205021 246936877 404078526 412410042 493873754 606117789 618615063 740810631 1212235578 1237230126 1481621262 1818353367 2222431893 3636706734 4444863786 5455060101 6667295679 10910120202 13334591358 20001887037 40003774074 60005661111 120011322222