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120022102011222 = 23238939174376083
BaseRepresentation
bin11011010010100011010010…
…110000010110110101010110
3120201222000000122121112111200
4123102203102300112311112
5111212420231103324342
61103133220435413330
734165211401162515
oct3322432260266526
9521860018545450
10120022102011222
11352740a6685394
1211565107154246
1351c8060447a18
14218d15a5a667c
15dd20b4bd494c
hex6d28d2c16d56

120022102011222 has 48 divisors (see below), whose sum is σ = 260783011073520. Its totient is φ = 39894323996736.

The previous prime is 120022102011187. The next prime is 120022102011233. The reversal of 120022102011222 is 222110201220021.

It is a happy number.

120022102011222 is a `hidden beast` number, since 1 + 20 + 0 + 221 + 0 + 201 + 1 + 222 = 666.

120022102011222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 120022102011195 and 120022102011204.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 25238793 + ... + 29614875.

It is an arithmetic number, because the mean of its divisors is an integer number (5432979397365).

Almost surely, 2120022102011222 is an apocalyptic number.

120022102011222 is an abundant number, since it is smaller than the sum of its proper divisors (140760909062298).

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

120022102011222 is a wasteful number, since it uses less digits than its factorization.

120022102011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380397 (or 4380394 counting only the distinct ones).

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

Adding to 120022102011222 its reverse (222110201220021), we get a palindrome (342132303231243).

The spelling of 120022102011222 in words is "one hundred twenty trillion, twenty-two billion, one hundred two million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 389 778 1167 2334 3501 3917 7002 7834 11751 23502 35253 70506 1523713 3047426 4376083 4571139 8752166 9142278 13128249 13713417 26256498 27426834 39384747 78769494 1702296287 3404592574 5106888861 10213777722 15320666583 17141117111 30641333166 34282234222 51423351333 102846702666 154270053999 308540107998 6667894556179 13335789112358 20003683668537 40007367337074 60011051005611 120022102011222