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212412214212 = 223111609183441
BaseRepresentation
bin1100010111010011000…
…0010010101111000100
3202022021101001111102220
43011310300102233010
511440010011323322
6241325242532340
721226526013312
oct3056460225704
9668241044386
10212412214212
11820a1180480
12352005070b0
13170519b0923
14a3d07630b2
1557d2ebc55c
hex3174c12bc4

212412214212 has 24 divisors (see below), whose sum is σ = 540685636512. Its totient is φ = 64367337600.

The previous prime is 212412214187. The next prime is 212412214213.

212412214212 is nontrivially palindromic in base 10.

212412214212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212412214213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804591589 + ... + 804591852.

It is an arithmetic number, because the mean of its divisors is an integer number (22528568188).

Almost surely, 2212412214212 is an apocalyptic number.

212412214212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212412214212 is an abundant number, since it is smaller than the sum of its proper divisors (328273422300).

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

212412214212 is a wasteful number, since it uses less digits than its factorization.

212412214212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609183459 (or 1609183457 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 212412 and 214212, that added together give a palindrome (426624).

The spelling of 212412214212 in words is "two hundred twelve billion, four hundred twelve million, two hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1609183441 3218366882 4827550323 6436733764 9655100646 17701017851 19310201292 35402035702 53103053553 70804071404 106206107106 212412214212