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12141231024420 = 2232517191131848031
BaseRepresentation
bin1011000010101101100111…
…0000110010100100100100
31120222200122021011111120200
42300223121300302210210
53042410220120240140
641453334325030500
72362114010633211
oct260533160624444
946880567144520
1012141231024420
1139610814348a3
121441075855430
136a0bb43193a4
142dd8d28d4b08
15160c4bc5a030
hexb0ad9c32924

12141231024420 has 288 divisors, whose sum is σ = 41410405370880. Its totient is φ = 2861282672640.

The previous prime is 12141231024409. The next prime is 12141231024427. The reversal of 12141231024420 is 2442013214121.

12141231024420 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 231 + 0 + 2 + 4 + 420 = 666.

It is not an unprimeable number, because it can be changed into a prime (12141231024427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5645805 + ... + 7493835.

It is an arithmetic number, because the mean of its divisors is an integer number (143786129760).

Almost surely, 212141231024420 is an apocalyptic number.

12141231024420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12141231024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20705202685440).

12141231024420 is an abundant number, since it is smaller than the sum of its proper divisors (29269174346460).

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

12141231024420 is a wasteful number, since it uses less digits than its factorization.

12141231024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848195 (or 1848190 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12141231024420 its reverse (2442013214121), we get a palindrome (14583244238541).

The spelling of 12141231024420 in words is "twelve trillion, one hundred forty-one billion, two hundred thirty-one million, twenty-four thousand, four hundred twenty".