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12420412101 = 3599151577
BaseRepresentation
bin10111001000101000…
…00111001011000101
31012001121012022100000
423210110013023011
5200414111141401
65412244311513
7616534521666
oct134424071305
935047168300
1012420412101
1152a3aa9499
1224a76a2599
13122c2a1c96
1485b7b736d
154ca617186
hex2e45072c5

12420412101 has 24 divisors (see below), whose sum is σ = 18624196864. Its totient is φ = 8271758880.

The previous prime is 12420412079. The next prime is 12420412127. The reversal of 12420412101 is 10121402421.

12420412101 is a `hidden beast` number, since 1 + 242 + 0 + 412 + 10 + 1 = 666.

It is not a de Polignac number, because 12420412101 - 29 = 12420411589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420412801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215025 + ... + 266601.

Almost surely, 212420412101 is an apocalyptic number.

It is an amenable number.

12420412101 is a deficient number, since it is larger than the sum of its proper divisors (6203784763).

12420412101 is an frugal number, since it uses more digits than its factorization.

12420412101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52583 (or 52571 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12420412101 its reverse (10121402421), we get a palindrome (22541814522).

The spelling of 12420412101 in words is "twelve billion, four hundred twenty million, four hundred twelve thousand, one hundred one".

Divisors: 1 3 9 27 81 243 991 2973 8919 26757 51577 80271 154731 240813 464193 1392579 4177737 12533211 51112807 153338421 460015263 1380045789 4140137367 12420412101