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12342124220 = 22541105114321
BaseRepresentation
bin10110111111010010…
…11101111010111100
31011212010212212112212
423133221131322330
5200234040433340
65400410315552
7614564216306
oct133751357274
934763785485
1012342124220
115263897668
122485428bb8
131218cc0caa
14851238976
154c3800a65
hex2dfa5debc

12342124220 has 48 divisors (see below), whose sum is σ = 26577736416. Its totient is φ = 4811520000.

The previous prime is 12342124211. The next prime is 12342124229. The reversal of 12342124220 is 2242124321.

It is an interprime number because it is at equal distance from previous prime (12342124211) and next prime (12342124229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342124229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854660 + ... + 868980.

It is an arithmetic number, because the mean of its divisors is an integer number (553702842).

Almost surely, 212342124220 is an apocalyptic number.

12342124220 is a gapful number since it is divisible by the number (10) 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 12342124220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13288868208).

12342124220 is an abundant number, since it is smaller than the sum of its proper divisors (14235612196).

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

12342124220 is a wasteful number, since it uses less digits than its factorization.

12342124220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15422 (or 15420 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12342124220 its reverse (2242124321), we get a palindrome (14584248541).

The spelling of 12342124220 in words is "twelve billion, three hundred forty-two million, one hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1051 2102 4204 5255 10510 14321 21020 28642 43091 57284 71605 86182 143210 172364 215455 286420 430910 587161 861820 1174322 2348644 2935805 5871610 11743220 15051371 30102742 60205484 75256855 150513710 301027420 617106211 1234212422 2468424844 3085531055 6171062110 12342124220