Search a number
-
+
120222211212012 = 223713377388745953
BaseRepresentation
bin11011010101011101101010…
…001100011000001011101100
3120202200010112121101012022210
4123111131222030120023230
5111224210042032241022
61103405153230210420
734215524316262260
oct3325355214301354
9522603477335283
10120222211212012
1135340a54051778
1211597a53353a10
135210ba127c540
142198b00d920a0
15dd73c7a29a0c
hex6d576a3182ec

120222211212012 has 384 divisors, whose sum is σ = 359855095025664. Its totient is φ = 30392443994112.

The previous prime is 120222211212011. The next prime is 120222211212013. The reversal of 120222211212012 is 210212112222021.

120222211212012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120222211212011) and next prime (120222211212013).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 120222211212012.

It is not an unprimeable number, because it can be changed into a prime (120222211212011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2616176428 + ... + 2616222380.

It is an arithmetic number, because the mean of its divisors is an integer number (937122643296).

Almost surely, 2120222211212012 is an apocalyptic number.

120222211212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120222211212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179927547512832).

120222211212012 is an abundant number, since it is smaller than the sum of its proper divisors (239632883813652).

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

120222211212012 is a wasteful number, since it uses less digits than its factorization.

120222211212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46977 (or 46975 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 120222211212012 its reverse (210212112222021), we get a palindrome (330434323434033).

The spelling of 120222211212012 in words is "one hundred twenty trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twelve thousand, twelve".