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12220120021 = 293131346273
BaseRepresentation
bin10110110000110000…
…00011101111010101
31011112122022102020211
423120120003233111
5200011322320041
65340331325421
7611553210034
oct133030035725
934478272224
1012220120021
115200a3704a
1224505b0871
1311c9944a65
1483cd5a71b
154b7c51481
hex2d8603bd5

12220120021 has 8 divisors (see below), whose sum is σ = 12681901080. Its totient is φ = 11761032192.

The previous prime is 12220120019. The next prime is 12220120049. The reversal of 12220120021 is 12002102221.

It is a happy number.

12220120021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 781817521 + 11438302500 = 27961^2 + 106950^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12220120021 - 21 = 12220120019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12220119983 and 12220120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220120321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 664060 + ... + 682213.

It is an arithmetic number, because the mean of its divisors is an integer number (1585237635).

Almost surely, 212220120021 is an apocalyptic number.

It is an amenable number.

12220120021 is a deficient number, since it is larger than the sum of its proper divisors (461781059).

12220120021 is a wasteful number, since it uses less digits than its factorization.

12220120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346615.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12220120021 its reverse (12002102221), we get a palindrome (24222222242).

The spelling of 12220120021 in words is "twelve billion, two hundred twenty million, one hundred twenty thousand, twenty-one".

Divisors: 1 29 313 9077 1346273 39041917 421383449 12220120021