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12420331224 = 2337137539639
BaseRepresentation
bin10111001000100111…
…10011011011011000
31012001121001012101120
423210103303123120
5200414101044344
65412242445240
7616534034130
oct134423633330
935047035346
1012420331224
1152a3a53754
1224a7663820
13122c274222
1485b795ac0
154ca5ed219
hex2e44f36d8

12420331224 has 64 divisors (see below), whose sum is σ = 35745753600. Its totient is φ = 3522756864.

The previous prime is 12420331181. The next prime is 12420331229. The reversal of 12420331224 is 42213302421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12420331194 and 12420331203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420331229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246804 + ... + 292835.

It is an arithmetic number, because the mean of its divisors is an integer number (558527400).

Almost surely, 212420331224 is an apocalyptic number.

12420331224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12420331224 is an abundant number, since it is smaller than the sum of its proper divisors (23325422376).

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

12420331224 is a wasteful number, since it uses less digits than its factorization.

12420331224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539792 (or 539788 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12420331224 its reverse (42213302421), we get a palindrome (54633633645).

The spelling of 12420331224 in words is "twelve billion, four hundred twenty million, three hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1644 1918 2877 3288 3836 5754 7672 11508 23016 539639 1079278 1618917 2158556 3237834 3777473 4317112 6475668 7554946 11332419 12951336 15109892 22664838 30219784 45329676 73930543 90659352 147861086 221791629 295722172 443583258 517513801 591444344 887166516 1035027602 1552541403 1774333032 2070055204 3105082806 4140110408 6210165612 12420331224