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12471030000 = 24335411131719
BaseRepresentation
bin10111001110101010…
…01101000011110000
31012012010102222001000
423213111031003300
5201020040430000
65421253242000
7621021002022
oct134725150360
935163388030
1012471030000
11531a631470
122500633300
1312399156c0
148643d2012
154cecb5000
hex2e754d0f0

12471030000 has 1600 divisors, whose sum is σ = 58571251200. Its totient is φ = 2488320000.

The previous prime is 12471029953. The next prime is 12471030001. The reversal of 12471030000 is 3017421.

12471030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12471030001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 656369991 + ... + 656370009.

It is an arithmetic number, because the mean of its divisors is an integer number (36607032).

Almost surely, 212471030000 is an apocalyptic number.

12471030000 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 12471030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29285625600).

12471030000 is an abundant number, since it is smaller than the sum of its proper divisors (46100221200).

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

12471030000 is a wasteful number, since it uses less digits than its factorization.

12471030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 12471030000 its reverse (3017421), we get a palindrome (12474047421).

The spelling of 12471030000 in words is "twelve billion, four hundred seventy-one million, thirty thousand".