10512420000 has 240 divisors, whose sum is σ = 34673550912. Its totient is φ = 2787840000.

The previous prime is 10512419971. The next prime is 10512420059. The reversal of 10512420000 is 2421501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10512420000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14459637 + ... + 14460363.

Almost surely, 2^10512420000 is an apocalyptic number.

10512420000 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 10512420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336775456).

10512420000 is an abundant number, since it is smaller than the sum of its proper divisors (24161130912).

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

10512420000 is an equidigital number, since it uses as much as digits as its factorization.

10512420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10512420000 its reverse (2421501), we get a palindrome (10514841501).

The spelling of 10512420000 in words is "ten billion, five hundred twelve million, four hundred twenty thousand".