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12462223140 = 2233561794789
BaseRepresentation
bin10111001101100111…
…00110111100100100
31012011111212112022000
423212303212330210
5201010312120030
65420340405300
7620553102033
oct134663467444
935144775260
1012462223140
115315666774
1224b96a6830
131237b50c43
1486317c71a
154ce125860
hex2e6ce6f24

12462223140 has 192 divisors, whose sum is σ = 39914112000. Its totient is φ = 3226728960.

The previous prime is 12462223097. The next prime is 12462223141. The reversal of 12462223140 is 4132226421.

12462223140 is a `hidden beast` number, since 1 + 2 + 4 + 622 + 2 + 31 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12462223141) 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 63 ways as a sum of consecutive naturals, for example, 2599866 + ... + 2604654.

It is an arithmetic number, because the mean of its divisors is an integer number (207886000).

Almost surely, 212462223140 is an apocalyptic number.

12462223140 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 12462223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19957056000).

12462223140 is an abundant number, since it is smaller than the sum of its proper divisors (27451888860).

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

12462223140 is a wasteful number, since it uses less digits than its factorization.

12462223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12462223140 its reverse (4132226421), we get a palindrome (16594449561).

The spelling of 12462223140 in words is "twelve billion, four hundred sixty-two million, two hundred twenty-three thousand, one hundred forty".