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12118159872 = 2934713319
BaseRepresentation
bin10110100100100110…
…00111001000000000
31011021112110022020000
423102103013020000
5144304222103442
65322250120000
7606204442110
oct132223071000
934245408200
1012118159872
115159426965
122422420000
1311b1796000
1482d5b9040
154add10d4c
hex2d24c7200

12118159872 has 800 divisors, whose sum is σ = 47136566400. Its totient is φ = 3027787776.

The previous prime is 12118159871. The next prime is 12118159877. The reversal of 12118159872 is 27895181121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12118159871) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 637797879 + ... + 637797897.

It is an arithmetic number, because the mean of its divisors is an integer number (58920708).

Almost surely, 212118159872 is an apocalyptic number.

12118159872 is a gapful number since it is divisible by the number (12) 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 12118159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23568283200).

12118159872 is an abundant number, since it is smaller than the sum of its proper divisors (35018406528).

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

12118159872 is an frugal number, since it uses more digits than its factorization.

12118159872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 44 counting only the distinct ones).

The product of its digits is 80640, while the sum is 45.

The spelling of 12118159872 in words is "twelve billion, one hundred eighteen million, one hundred fifty-nine thousand, eight hundred seventy-two".