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12112590000 = 24354757679
BaseRepresentation
bin10110100011111011…
…10111010010110000
31011021010222022210110
423101331313102300
5144301310340000
65321530501320
7606106213320
oct132175672260
934233868713
1012112590000
115156272165
122420594840
1311b0595a24
1482c969280
154ad5b0850
hex2d1f774b0

12112590000 has 200 divisors, whose sum is σ = 44687695360. Its totient is φ = 2768544000.

The previous prime is 12112589999. The next prime is 12112590019. The reversal of 12112590000 is 9521121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181161 + ... + 238839.

Almost surely, 212112590000 is an apocalyptic number.

12112590000 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 12112590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22343847680).

12112590000 is an abundant number, since it is smaller than the sum of its proper divisors (32575105360).

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

12112590000 is an equidigital number, since it uses as much as digits as its factorization.

12112590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57717 (or 57696 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 12112590000 in words is "twelve billion, one hundred twelve million, five hundred ninety thousand".