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12435141220 = 225621757061
BaseRepresentation
bin10111001010011000…
…10011001001100100
31012002121220121212221
423211030103021210
5200431344004340
65413532122124
7620103646015
oct134514231144
935077817787
1012435141220
115301349717
1224b0606344
13123235b238
1485d72d00c
154cba7644a
hex2e5313264

12435141220 has 12 divisors (see below), whose sum is σ = 26113796604. Its totient is φ = 4974056480.

The previous prime is 12435141193. The next prime is 12435141227. The reversal of 12435141220 is 2214153421.

It can be written as a sum of positive squares in 2 ways, for example, as 1465511524 + 10969629696 = 38282^2 + 104736^2 .

It is a super-2 number, since 2×124351412202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12435141227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 310878511 + ... + 310878550.

It is an arithmetic number, because the mean of its divisors is an integer number (2176149717).

Almost surely, 212435141220 is an apocalyptic number.

12435141220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12435141220 is an abundant number, since it is smaller than the sum of its proper divisors (13678655384).

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

12435141220 is a wasteful number, since it uses less digits than its factorization.

12435141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621757070 (or 621757068 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12435141220 its reverse (2214153421), we get a palindrome (14649294641).

The spelling of 12435141220 in words is "twelve billion, four hundred thirty-five million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 621757061 1243514122 2487028244 3108785305 6217570610 12435141220