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12420111220 = 2251157799769
BaseRepresentation
bin10111001000100101…
…11101101101110100
31012001120122000121021
423210102331231310
5200414022024340
65412234030524
7616532126536
oct134422755564
935046560537
1012420111220
1152a3913430
1224a7578444
13122c1c804a
1485b739856
154ca5a7e4a
hex2e44bdb74

12420111220 has 48 divisors (see below), whose sum is σ = 28461182400. Its totient is φ = 4515160320.

The previous prime is 12420111167. The next prime is 12420111227. The reversal of 12420111220 is 2211102421.

It is a junction number, because it is equal to n+sod(n) for n = 12420111194 and 12420111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420111227) 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 15 ways as a sum of consecutive naturals, for example, 1266496 + ... + 1276264.

It is an arithmetic number, because the mean of its divisors is an integer number (592941300).

Almost surely, 212420111220 is an apocalyptic number.

12420111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420111220 is an abundant number, since it is smaller than the sum of its proper divisors (16041071180).

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

12420111220 is a wasteful number, since it uses less digits than its factorization.

12420111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15568 (or 15566 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12420111220 its reverse (2211102421), we get a palindrome (14631213641).

The spelling of 12420111220 in words is "twelve billion, four hundred twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 5779 9769 11558 19538 23116 28895 39076 48845 57790 63569 97690 107459 115580 127138 195380 214918 254276 317845 429836 537295 635690 1074590 1271380 2149180 56455051 112910102 225820204 282275255 564550510 621005561 1129101020 1242011122 2484022244 3105027805 6210055610 12420111220