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12081132000 = 2532537191251
BaseRepresentation
bin10110100000001011…
…10111000111100000
31011011221210002112100
423100011313013200
5144220232211000
65314444330400
7605244633120
oct132005670740
934157702470
1012081132000
11513a536313
122411b43a00
1311a6c00222
148286dac80
154aa949a00
hex2d01771e0

12081132000 has 576 divisors, whose sum is σ = 49453867008. Its totient is φ = 2736000000.

The previous prime is 12081131999. The next prime is 12081132017. The reversal of 12081132000 is 23118021.

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

It is a congruent number.

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, 48131875 + ... + 48132125.

It is an arithmetic number, because the mean of its divisors is an integer number (85857408).

Almost surely, 212081132000 is an apocalyptic number.

12081132000 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 12081132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24726933504).

12081132000 is an abundant number, since it is smaller than the sum of its proper divisors (37372735008).

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

12081132000 is a wasteful number, since it uses less digits than its factorization.

12081132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 12081132000 in words is "twelve billion, eighty-one million, one hundred thirty-two thousand".