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12118080012 = 22317232923783
BaseRepresentation
bin10110100100100101…
…10011101000001100
31011021112022020200020
423102102303220030
5144304212030022
65322244302140
7606203660223
oct132222635014
934245266606
1012118080012
115159381965
1224223a1950
1311b176885c
1482d597cba
154adce735c
hex2d24b3a0c

12118080012 has 288 divisors, whose sum is σ = 33629686272. Its totient is φ = 3375009792.

The previous prime is 12118079999. The next prime is 12118080059. The reversal of 12118080012 is 21008081121.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146000923 + ... + 146001005.

It is an arithmetic number, because the mean of its divisors is an integer number (116769744).

Almost surely, 212118080012 is an apocalyptic number.

12118080012 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 12118080012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16814843136).

12118080012 is an abundant number, since it is smaller than the sum of its proper divisors (21511606260).

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

12118080012 is a wasteful number, since it uses less digits than its factorization.

12118080012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The spelling of 12118080012 in words is "twelve billion, one hundred eighteen million, eighty thousand, twelve".