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212122012 = 221313311223
BaseRepresentation
bin11001010010010…
…11100110011100
3112210010220200211
430221023212130
5413300401022
633014302204
75154002344
oct1451134634
9483126624
10212122012
11a9812453
125b057964
1334c3c9ab
1420259d24
1513950e77
hexca4b99c

212122012 has 24 divisors (see below), whose sum is σ = 375484032. Its totient is φ = 104847600.

The previous prime is 212122007. The next prime is 212122019. The reversal of 212122012 is 210221212.

It is a happy number.

212122012 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212121983 and 212122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172833 + ... + 174055.

It is an arithmetic number, because the mean of its divisors is an integer number (15645168).

Almost surely, 2212122012 is an apocalyptic number.

It is an amenable number.

212122012 is a deficient number, since it is larger than the sum of its proper divisors (163362020).

212122012 is a wasteful number, since it uses less digits than its factorization.

212122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 212122012 is about 14564.4090851637. The cubic root of 212122012 is about 596.3875645363.

Adding to 212122012 its reverse (210221212), we get a palindrome (422343224).

The spelling of 212122012 in words is "two hundred twelve million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 4 131 262 331 524 662 1223 1324 2446 4892 43361 86722 160213 173444 320426 404813 640852 809626 1619252 53030503 106061006 212122012