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12034198512 = 243472316113
BaseRepresentation
bin10110011010100101…
…10100101111110000
31011001200110121220000
423031102310233300
5144121223323022
65310050350000
7604134666600
oct131522645760
934050417800
1012034198512
115115a9a506
1223ba28b300
13119a27982b
148223a0c00
154a67786ac
hex2cd4b4bf0

12034198512 has 300 divisors, whose sum is σ = 41830911936. Its totient is φ = 3326883840.

The previous prime is 12034198489. The next prime is 12034198531. The reversal of 12034198512 is 21589143021.

12034198512 is a `hidden beast` number, since 1 + 20 + 34 + 1 + 98 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1965568 + ... + 1971680.

Almost surely, 212034198512 is an apocalyptic number.

12034198512 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 12034198512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20915455968).

12034198512 is an abundant number, since it is smaller than the sum of its proper divisors (29796713424).

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

12034198512 is a wasteful number, since it uses less digits than its factorization.

12034198512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12034198512 in words is "twelve billion, thirty-four million, one hundred ninety-eight thousand, five hundred twelve".