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12411042000 = 243537461641
BaseRepresentation
bin10111000111100000…
…10111100011010000
31012000221120020222020
423203300113203100
5200404211321000
65411311411440
7616362054630
oct134360274320
935027506866
1012411042000
115299789605
1224a4523b80
13122a371046
1485a4586c0
154c98b5ba0
hex2e3c178d0

12411042000 has 320 divisors, whose sum is σ = 45900062208. Its totient is φ = 2826240000.

The previous prime is 12411041977. The next prime is 12411042019. The reversal of 12411042000 is 24011421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 19361680 + ... + 19362320.

Almost surely, 212411042000 is an apocalyptic number.

12411042000 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 12411042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22950031104).

12411042000 is an abundant number, since it is smaller than the sum of its proper divisors (33489020208).

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

12411042000 is a wasteful number, since it uses less digits than its factorization.

12411042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12411042000 its reverse (24011421), we get a palindrome (12435053421).

The spelling of 12411042000 in words is "twelve billion, four hundred eleven million, forty-two thousand".