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12102422420 = 2251125001001
BaseRepresentation
bin10110100010101110…
…00100111110010100
31011020102211202111102
423101113010332110
5144241210004140
65320524525232
7605623615244
oct132127047624
934212752442
1012102422420
115150558100
1224190b0818
1311ab445aca
1482b47db24
154ac752e15
hex2d15c4f94

12102422420 has 36 divisors (see below), whose sum is σ = 27935597172. Its totient is φ = 4400880000.

The previous prime is 12102422411. The next prime is 12102422447. The reversal of 12102422420 is 2422420121.

12102422420 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 2 ways, for example, as 9344702224 + 2757720196 = 96668^2 + 52514^2 .

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12102422392 and 12102422401.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2498081 + ... + 2502920.

Almost surely, 212102422420 is an apocalyptic number.

12102422420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102422420 is an abundant number, since it is smaller than the sum of its proper divisors (15833174752).

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

12102422420 is a wasteful number, since it uses less digits than its factorization.

12102422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001032 (or 5001019 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12102422420 its reverse (2422420121), we get a palindrome (14524842541).

The spelling of 12102422420 in words is "twelve billion, one hundred two million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 5001001 10002002 20004004 25005005 50010010 55011011 100020020 110022022 220044044 275055055 550110110 605121121 1100220220 1210242242 2420484484 3025605605 6051211210 12102422420