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12130041000 = 2335371152511
BaseRepresentation
bin10110100110000000…
…11011110010101000
31011022100210221001210
423103000123302220
5144320242303000
65323352513120
7606410435010
oct132300336250
934270727053
1012130041000
115165101380
1224263ab7a0
1311b4095b6c
14830dccc40
154aedab350
hex2d301bca8

12130041000 has 256 divisors, whose sum is σ = 47185182720. Its totient is φ = 2520480000.

The previous prime is 12130040999. The next prime is 12130041031. The reversal of 12130041000 is 14003121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 204745 + ... + 257255.

It is an arithmetic number, because the mean of its divisors is an integer number (184317120).

Almost surely, 212130041000 is an apocalyptic number.

12130041000 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 12130041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23592591360).

12130041000 is an abundant number, since it is smaller than the sum of its proper divisors (35055141720).

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

12130041000 is a wasteful number, since it uses less digits than its factorization.

12130041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52553 (or 52539 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12130041000 its reverse (14003121), we get a palindrome (12144044121).

The spelling of 12130041000 in words is "twelve billion, one hundred thirty million, forty-one thousand".