12008511510 has 64 divisors (see below), whose sum is σ = 30556833984. Its totient is φ = 3009843200.

The previous prime is 12008511497. The next prime is 12008511511. The reversal of 12008511510 is 1511580021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12008511511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372640 + ... + 403580.

It is an arithmetic number, because the mean of its divisors is an integer number (477450531).

Almost surely, 2^12008511510 is an apocalyptic number.

12008511510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12008511510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15278416992).

12008511510 is an abundant number, since it is smaller than the sum of its proper divisors (18548322474).

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

12008511510 is a wasteful number, since it uses less digits than its factorization.

12008511510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31729.

The product of its (nonzero) digits is 400, while the sum is 24.

The spelling of 12008511510 in words is "twelve billion, eight million, five hundred eleven thousand, five hundred ten".