10512392192000 has 544 divisors, whose sum is σ = 27029398705920. Its totient is φ = 4080559718400.

The previous prime is 10512392191901. The next prime is 10512392192009. The reversal of 10512392192000 is 29129321501.

It is a super-2 number, since 2×10512392192000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10512392192009) 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 31 ways as a sum of consecutive naturals, for example, 58728447911 + ... + 58728448089.

It is an arithmetic number, because the mean of its divisors is an integer number (49686394680).

Almost surely, 2^{10512392192000} is an apocalyptic number.

10512392192000 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 10512392192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514699352960).

10512392192000 is an abundant number, since it is smaller than the sum of its proper divisors (16517006513920).

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

10512392192000 is an frugal number, since it uses more digits than its factorization.

10512392192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 10512392192000 in words is "ten trillion, five hundred twelve billion, three hundred ninety-two million, one hundred ninety-two thousand".