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12120012202212 = 2232409823146713
BaseRepresentation
bin1011000001011110100100…
…0001011010000011100100
31120220122212111012122120200
42300113221001122003210
53042033241110432322
641435505020030500
72360433125625615
oct260275101320344
946818774178520
1012120012202212
113953082a136a2
121438b33692430
1369bbb2289ca5
142dc87c7bdc0c
15160408ed68ac
hexb05e905a0e4

12120012202212 has 36 divisors (see below), whose sum is σ = 30711603899340. Its totient is φ = 4030126301952.

The previous prime is 12120012202201. The next prime is 12120012202213. The reversal of 12120012202212 is 21220221002121.

It is a happy number.

12120012202212 is a `hidden beast` number, since 1 + 21 + 200 + 1 + 220 + 221 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9492967696356 + 2627044505856 = 3081066^2 + 1620816^2 .

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 (12120012202213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411558633 + ... + 411588080.

It is an arithmetic number, because the mean of its divisors is an integer number (853100108315).

Almost surely, 212120012202212 is an apocalyptic number.

12120012202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120012202212 is an abundant number, since it is smaller than the sum of its proper divisors (18591591697128).

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

12120012202212 is a wasteful number, since it uses less digits than its factorization.

12120012202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823147132 (or 823147127 counting only the distinct ones).

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

Adding to 12120012202212 its reverse (21220221002121), we get a palindrome (33340233204333).

The spelling of 12120012202212 in words is "twelve trillion, one hundred twenty billion, twelve million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 409 818 1227 1636 2454 3681 4908 7362 14724 823146713 1646293426 2469440139 3292586852 4938880278 7408320417 9877760556 14816640834 29633281668 336667005617 673334011234 1010001016851 1346668022468 2020002033702 3030003050553 4040004067404 6060006101106 12120012202212