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12511116000 = 2532531720443
BaseRepresentation
bin10111010011011100…
…00111101011100000
31012021220212112200200
423221232013223200
5201110321203000
65425244345200
7622015505565
oct135156075340
935256775620
1012511116000
115340220699
122511b45200
13124500c426
1486986886c
154d3582500
hex2e9b87ae0

12511116000 has 288 divisors, whose sum is σ = 47016129888. Its totient is φ = 3139891200.

The previous prime is 12511115999. The next prime is 12511116001. The reversal of 12511116000 is 61111521.

It is a happy number.

12511116000 is a `hidden beast` number, since 1 + 2 + 51 + 1 + 11 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12511115999) and next prime (12511116001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12511116001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601779 + ... + 622221.

It is an arithmetic number, because the mean of its divisors is an integer number (163250451).

Almost surely, 212511116000 is an apocalyptic number.

12511116000 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 12511116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23508064944).

12511116000 is an abundant number, since it is smaller than the sum of its proper divisors (34505013888).

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

12511116000 is a wasteful number, since it uses less digits than its factorization.

12511116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20491 (or 20470 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 12511116000 its reverse (61111521), we get a palindrome (12572227521).

The spelling of 12511116000 in words is "twelve billion, five hundred eleven million, one hundred sixteen thousand".