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1211212122112 = 211809731041
BaseRepresentation
bin10001101000000001110…
…111100100100000000000
311021210100110021221001101
4101220001313210200000
5124321030300401422
62324231223144144
7153335652111466
oct21500167444000
94253313257041
101211212122112
11427743737413
121768a85a5054
138a2a84520a5
14428a1654836
152178e1cac27
hex11a01de4800

1211212122112 has 48 divisors (see below), whose sum is σ = 2424829761900. Its totient is φ = 604856647680.

The previous prime is 1211212122077. The next prime is 1211212122119. The reversal of 1211212122112 is 2112212121121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 820517118976 + 390695003136 = 905824^2 + 625056^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1211212122112.

It is not an unprimeable number, because it can be changed into a prime (1211212122119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1291312 + ... + 2022352.

Almost surely, 21211212122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212414880950).

1211212122112 is an abundant number, since it is smaller than the sum of its proper divisors (1213617639788).

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

1211212122112 is an frugal number, since it uses more digits than its factorization.

1211212122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731872 (or 731852 counting only the distinct ones).

The product of its digits is 64, while the sum is 19.

Adding to 1211212122112 its reverse (2112212121121), we get a palindrome (3323424243233).

Subtracting 1211212122112 from its reverse (2112212121121), we obtain a palindrome (900999999009).

The spelling of 1211212122112 in words is "one trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 809 1024 1618 2048 3236 6472 12944 25888 51776 103552 207104 414208 731041 828416 1462082 1656832 2924164 5848328 11696656 23393312 46786624 93573248 187146496 374292992 591412169 748585984 1182824338 1497171968 2365648676 4731297352 9462594704 18925189408 37850378816 75700757632 151401515264 302803030528 605606061056 1211212122112