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121222112122112 = 282002923641913
BaseRepresentation
bin11011100100000000111000…
…111011101001010100000000
3120220012201110102100100000112
4123210000320323221110000
5111342100341200401422
61105452400341010452
734351002641626421
oct3344007073512400
9526181412310015
10121222112122112
1135697011047991
12117197a80b3a28
135284271b628b1
1421d12781a3648
15e033ea71aee2
hex6e4038ee9500

121222112122112 has 36 divisors (see below), whose sum is σ = 241982791621620. Its totient is φ = 60608027332608.

The previous prime is 121222112122081. The next prime is 121222112122217. The reversal of 121222112122112 is 211221211222121.

It can be written as a sum of positive squares in 2 ways, for example, as 19809478214656 + 101412633907456 = 4450784^2 + 10070384^2 .

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 congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6693533 + ... + 16948380.

Almost surely, 2121222112122112 is an apocalyptic number.

It is an amenable number.

121222112122112 is a deficient number, since it is larger than the sum of its proper divisors (120760679499508).

121222112122112 is an equidigital number, since it uses as much as digits as its factorization.

121222112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23661958 (or 23661944 counting only the distinct ones).

The product of its digits is 256, while the sum is 23.

Adding to 121222112122112 its reverse (211221211222121), we get a palindrome (332443323344233).

The spelling of 121222112122112 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 20029 40058 80116 160232 320464 640928 1281856 2563712 5127424 23641913 47283826 94567652 189135304 378270608 756541216 1513082432 3026164864 6052329728 473523875477 947047750954 1894095501908 3788191003816 7576382007632 15152764015264 30305528030528 60611056061056 121222112122112