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1212221012112 = 2432112229330341
BaseRepresentation
bin10001101000111110000…
…000001011100010010000
311021212221202200211221200
4101220332000023202100
5124330112034341422
62324515303151200
7153402652406655
oct21507600134220
94255852624850
101212221012112
11428111182400
12176b2a445500
138a409482816
1442959637c2c
15217eca662ac
hex11a3e00b890

1212221012112 has 180 divisors, whose sum is σ = 3730734168252. Its totient is φ = 367167398400.

The previous prime is 1212221012083. The next prime is 1212221012117. The reversal of 1212221012112 is 2112101222121.

It can be written as a sum of positive squares in 2 ways, for example, as 271445168016 + 940775844096 = 521004^2 + 969936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1212221012117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39938062 + ... + 39968402.

Almost surely, 21212221012112 is an apocalyptic number.

1212221012112 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 1212221012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865367084126).

1212221012112 is an abundant number, since it is smaller than the sum of its proper divisors (2518513156140).

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

1212221012112 is a wasteful number, since it uses less digits than its factorization.

1212221012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32670 (or 32650 counting only the distinct ones).

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

Adding to 1212221012112 its reverse (2112101222121), we get a palindrome (3324322234233).

The spelling of 1212221012112 in words is "one trillion, two hundred twelve billion, two hundred twenty-one million, twelve thousand, one hundred twelve".