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12011412420 = 2232579532867
BaseRepresentation
bin10110010111110111…
…11001101111000100
31011000002120222020200
423023323321233010
5144044410144140
65303514130500
7603440215050
oct131373715704
934002528220
1012011412420
115104146a27
1223b2720a30
13119562c237
1481d34cc60
154a4777030
hex2cbef9bc4

12011412420 has 72 divisors (see below), whose sum is σ = 41639567424. Its totient is φ = 2745465408.

The previous prime is 12011412377. The next prime is 12011412451. The reversal of 12011412420 is 2421411021.

12011412420 is a `hidden beast` number, since 1 + 201 + 1 + 41 + 2 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12011412393 and 12011412402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4765174 + ... + 4767693.

Almost surely, 212011412420 is an apocalyptic number.

12011412420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011412420 is an abundant number, since it is smaller than the sum of its proper divisors (29628155004).

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

12011412420 is a wasteful number, since it uses less digits than its factorization.

12011412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532889 (or 9532884 counting only the distinct ones).

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

Adding to 12011412420 its reverse (2421411021), we get a palindrome (14432823441).

The spelling of 12011412420 in words is "twelve billion, eleven million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 9532867 19065734 28598601 38131468 47664335 57197202 66730069 85795803 95328670 114394404 133460138 142993005 171591606 190657340 200190207 266920276 285986010 333650345 343183212 400380414 428979015 571972020 600570621 667300690 800760828 857958030 1000951035 1201141242 1334601380 1715916060 2001902070 2402282484 3002853105 4003804140 6005706210 12011412420