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12015015012 = 223372111315877
BaseRepresentation
bin10110011000010011…
…01001010001100100
31011000100101000002000
423030021221101210
5144101320440022
65304123245300
7603512641200
oct131411512144
934010330060
1012015015012
115106187680
1223b3979830
1311962c0c50
1481da09b00
154a4c396ac
hex2cc269464

12015015012 has 288 divisors, whose sum is σ = 42573363840. Its totient is φ = 2880541440.

The previous prime is 12015014983. The next prime is 12015015017. The reversal of 12015015012 is 21051051021.

12015015012 is a `hidden beast` number, since 12 + 0 + 150 + 1 + 501 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12015015017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748818 + ... + 764694.

It is an arithmetic number, because the mean of its divisors is an integer number (147824180).

Almost surely, 212015015012 is an apocalyptic number.

12015015012 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 12015015012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21286681920).

12015015012 is an abundant number, since it is smaller than the sum of its proper divisors (30558348828).

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

12015015012 is a wasteful number, since it uses less digits than its factorization.

12015015012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15928 (or 15913 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 12015015012 its reverse (21051051021), we get a palindrome (33066066033).

The spelling of 12015015012 in words is "twelve billion, fifteen million, fifteen thousand, twelve".