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1212211212210 = 2325101990113469
BaseRepresentation
bin10001101000111101011…
…010110010111110110010
311021212221002020222000100
4101220331122302332302
5124330102032242320
62324514313133230
7153402503202555
oct21507532627662
94255832228010
101212211212210
11428106699609
12176b270ba216
138a40743106b
144295820669c
15217ebc7c790
hex11a3d6b2fb2

1212211212210 has 96 divisors (see below), whose sum is σ = 3183512407920. Its totient is φ = 319999680000.

The previous prime is 1212211212197. The next prime is 1212211212227. The reversal of 1212211212210 is 122121122121.

1212211212210 is a `hidden beast` number, since 1 + 21 + 221 + 1 + 212 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1162909894689 + 49301317521 = 1078383^2 + 222039^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 89993356 + ... + 90006824.

Almost surely, 21212211212210 is an apocalyptic number.

1212211212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212211212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591756203960).

1212211212210 is an abundant number, since it is smaller than the sum of its proper divisors (1971301195710).

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

1212211212210 is a wasteful number, since it uses less digits than its factorization.

1212211212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23484 (or 23481 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1212211212210 its reverse (122121122121), we get a palindrome (1334332334331).

The spelling of 1212211212210 in words is "one trillion, two hundred twelve billion, two hundred eleven million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 9901 13469 19802 26938 29703 40407 49505 59406 67345 80814 89109 99010 121221 134690 148515 178218 202035 242442 297030 404070 445545 606105 891090 1000001 1212210 1360369 2000002 2720738 3000003 4081107 5000005 6000006 6801845 8162214 9000009 10000010 12243321 13603690 15000015 18000018 20405535 24486642 30000030 40811070 45000045 61216605 90000090 122433210 133356569 266713138 400069707 666782845 800139414 1200209121 1333565690 2000348535 2400418242 4000697070 6001045605 12002091210 13469013469 26938026938 40407040407 67345067345 80814080814 121221121221 134690134690 202035202035 242442242442 404070404070 606105606105 1212211212210