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12420118620 = 22325713977817
BaseRepresentation
bin10111001000100101…
…11111100001011100
31012001120122101202100
423210102333201130
5200414022243440
65412234125100
7616532160240
oct134422774134
935046571670
1012420118620
1152a3918a48
1224a7580790
13122c1cb520
1485b73c420
154ca5aa230
hex2e44bf85c

12420118620 has 288 divisors, whose sum is σ = 46852460928. Its totient is φ = 2593161216.

The previous prime is 12420118619. The next prime is 12420118651. The reversal of 12420118620 is 2681102421.

12420118620 is a `hidden beast` number, since 1 + 2 + 4 + 20 + 1 + 18 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1584952 + ... + 1592768.

It is an arithmetic number, because the mean of its divisors is an integer number (162682156).

Almost surely, 212420118620 is an apocalyptic number.

12420118620 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 12420118620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426230464).

12420118620 is an abundant number, since it is smaller than the sum of its proper divisors (34432342308).

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

12420118620 is a wasteful number, since it uses less digits than its factorization.

12420118620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7949 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12420118620 in words is "twelve billion, four hundred twenty million, one hundred eighteen thousand, six hundred twenty".