10232144131200 has 192 divisors, whose sum is σ = 33853262419200. Its totient is φ = 2716335452160.

The previous prime is 10232144131127. The next prime is 10232144131211. The reversal of 10232144131200 is 213144123201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248995 + ... + 4530594.

It is an arithmetic number, because the mean of its divisors is an integer number (176319075100).

Almost surely, 2^{10232144131200} is an apocalyptic number.

10232144131200 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 10232144131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926631209600).

10232144131200 is an abundant number, since it is smaller than the sum of its proper divisors (23621118288000).

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

10232144131200 is a wasteful number, since it uses less digits than its factorization.

10232144131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779839 (or 4779822 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10232144131200 its reverse (213144123201), we get a palindrome (10445288254401).

The spelling of 10232144131200 in words is "ten trillion, two hundred thirty-two billion, one hundred forty-four million, one hundred thirty-one thousand, two hundred".