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12141103242000 = 2435323285130859
BaseRepresentation
bin1011000010101101001000…
…1001010101101100010000
31120222200022100201111001110
42300223102021111230100
53042404434412221000
641453313522133320
72362110566536545
oct260532211255420
946880270644043
1012141103242000
113961016297a97
12144103aab1240
136a0b939c90a5
142dd8bd950bcc
15160c40918850
hexb0ad2255b10

12141103242000 has 320 divisors, whose sum is σ = 40860433336320. Its totient is φ = 3095674560000.

The previous prime is 12141103241941. The next prime is 12141103242019. The reversal of 12141103242000 is 24230114121.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393422571 + ... + 393453429.

It is an arithmetic number, because the mean of its divisors is an integer number (127688854176).

Almost surely, 212141103242000 is an apocalyptic number.

12141103242000 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 12141103242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20430216668160).

12141103242000 is an abundant number, since it is smaller than the sum of its proper divisors (28719330094320).

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

12141103242000 is a wasteful number, since it uses less digits than its factorization.

12141103242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33759 (or 33743 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12141103242000 its reverse (24230114121), we get a palindrome (12165333356121).

The spelling of 12141103242000 in words is "twelve trillion, one hundred forty-one billion, one hundred three million, two hundred forty-two thousand".