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12124530000 = 2432541137331
BaseRepresentation
bin10110100101010110…
…11010010101010000
31011021222102221101200
423102223122111100
5144312334430000
65323034431200
7606312542652
oct132253322520
934258387350
1012124530000
115161a87930
122424592500
1311b2bb660b
148303966d2
154ae66d500
hex2d2ada550

12124530000 has 600 divisors, whose sum is σ = 47649572256. Its totient is φ = 2851200000.

The previous prime is 12124529993. The next prime is 12124530013. The reversal of 12124530000 is 3542121.

12124530000 is a `hidden beast` number, since 1 + 212 + 453 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 36629835 + ... + 36630165.

Almost surely, 212124530000 is an apocalyptic number.

12124530000 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 12124530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23824786128).

12124530000 is an abundant number, since it is smaller than the sum of its proper divisors (35525042256).

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

12124530000 is a wasteful number, since it uses less digits than its factorization.

12124530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 12124530000 in words is "twelve billion, one hundred twenty-four million, five hundred thirty thousand".