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12420244431 = 35741178091
BaseRepresentation
bin10111001000100110…
…11110001111001111
31012001120212210100000
423210103132033033
5200414040310211
65412240535343
7616533223110
oct134423361717
935046783300
1012420244431
1152a39a4521
1224a7621553
13122c24387a
1485b772207
154ca5d2656
hex2e44de3cf

12420244431 has 48 divisors (see below), whose sum is σ = 21781363968. Its totient is φ = 6924139200.

The previous prime is 12420244427. The next prime is 12420244433. The reversal of 12420244431 is 13444202421.

12420244431 is a `hidden beast` number, since 1 + 24 + 202 + 4 + 4 + 431 = 666.

It is not a de Polignac number, because 12420244431 - 22 = 12420244427 is a prime.

It is a super-2 number, since 2×124202444312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12420244395 and 12420244404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420244433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19305 + ... + 158786.

It is an arithmetic number, because the mean of its divisors is an integer number (453778416).

Almost surely, 212420244431 is an apocalyptic number.

12420244431 is a deficient number, since it is larger than the sum of its proper divisors (9361119537).

12420244431 is an equidigital number, since it uses as much as digits as its factorization.

12420244431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178154 (or 178142 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12420244431 its reverse (13444202421), we get a palindrome (25864446852).

The spelling of 12420244431 in words is "twelve billion, four hundred twenty million, two hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 41 63 81 123 189 243 287 369 567 861 1107 1701 2583 3321 7749 9963 23247 69741 178091 534273 1246637 1602819 3739911 4808457 7301731 11219733 14425371 21905193 33659199 43276113 51112117 65715579 100977597 153336351 197146737 302932791 460009053 591440211 1380027159 1774320633 4140081477 12420244431