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1212211112112 = 2433731113193011
BaseRepresentation
bin10001101000111101011…
…010011010100010110000
311021212221002001212201000
4101220331122122202300
5124330102021041422
62324514311042000
7153402502305000
oct21507532324260
94255832055630
101212211112112
11428106630390
12176b27070300
138a4073c7630
14429581bc000
15217ebc5ccac
hex11a3d69a8b0

1212211112112 has 1280 divisors, whose sum is σ = 5019678720000. Its totient is φ = 275251737600.

The previous prime is 1212211112071. The next prime is 1212211112117. The reversal of 1212211112112 is 2112111122121.

It is a happy number.

1212211112112 is a `hidden beast` number, since 121 + 221 + 111 + 211 + 2 = 666.

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

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 (1212211112117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 402592687 + ... + 402595697.

It is an arithmetic number, because the mean of its divisors is an integer number (3921624000).

Almost surely, 21212211112112 is an apocalyptic number.

1212211112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212211112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509839360000).

1212211112112 is an abundant number, since it is smaller than the sum of its proper divisors (3807467607888).

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

1212211112112 is a wasteful number, since it uses less digits than its factorization.

1212211112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3066 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1212211112112 its reverse (2112111122121), we get a palindrome (3324322234233).

The spelling of 1212211112112 in words is "one trillion, two hundred twelve billion, two hundred eleven million, one hundred twelve thousand, one hundred twelve".