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12027934023840 = 253557127347987
BaseRepresentation
bin1010111100000111100010…
…1111000010000010100000
31120120212012101212112200000
42233001320233002002200
53034031202102230330
641325320121100000
72350663263212160
oct257017057020240
946525171775600
1012027934023840
113918022209419
121423116927600
136932c9a4a487
142d82258b65a0
1515cd1a4a3560
hexaf078bc20a0

12027934023840 has 576 divisors, whose sum is σ = 49029493653504. Its totient is φ = 2727586649088.

The previous prime is 12027934023839. The next prime is 12027934023851. The reversal of 12027934023840 is 4832043972021.

12027934023840 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 79 + 340 + 238 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34390327 + ... + 34738313.

It is an arithmetic number, because the mean of its divisors is an integer number (85120648704).

Almost surely, 212027934023840 is an apocalyptic number.

12027934023840 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 12027934023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24514746826752).

12027934023840 is an abundant number, since it is smaller than the sum of its proper divisors (37001559629664).

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

12027934023840 is a wasteful number, since it uses less digits than its factorization.

12027934023840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348151 (or 348131 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

Adding to 12027934023840 its reverse (4832043972021), we get a palindrome (16859977995861).

The spelling of 12027934023840 in words is "twelve trillion, twenty-seven billion, nine hundred thirty-four million, twenty-three thousand, eight hundred forty".