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12238700423040 = 2732571331853883
BaseRepresentation
bin1011001000011000101101…
…1001000010011110000000
31121100000020002000222100100
42302012023121002132000
53101004324302014130
642010214212322400
72402134256101140
oct262061331023600
947300202028310
1012238700423040
1139994493656a3
121457b38013400
136aa148773a60
143044db81a920
15163553c21c60
hexb218b642780

12238700423040 has 1536 divisors, whose sum is σ = 53816186511360. Its totient is φ = 2493177200640.

The previous prime is 12238700422867. The next prime is 12238700423093. The reversal of 12238700423040 is 4032400783221.

It is a happy number.

12238700423040 is a `hidden beast` number, since 1 + 2 + 2 + 387 + 0 + 0 + 4 + 230 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12238700422986 and 12238700423004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13860362439 + ... + 13860363321.

It is an arithmetic number, because the mean of its divisors is an integer number (35036579760).

Almost surely, 212238700423040 is an apocalyptic number.

12238700423040 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 12238700423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26908093255680).

12238700423040 is an abundant number, since it is smaller than the sum of its proper divisors (41577486088320).

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

12238700423040 is a wasteful number, since it uses less digits than its factorization.

12238700423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12238700423040 in words is "twelve trillion, two hundred thirty-eight billion, seven hundred million, four hundred twenty-three thousand, forty".