10132244343200 has 216 divisors, whose sum is σ = 28780382750112. Its totient is φ = 3473113351680.

The previous prime is 10132244343191. The next prime is 10132244343229. The reversal of 10132244343200 is 234344223101.

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 35 ways as a sum of consecutive naturals, for example, 185114237 + ... + 185168963.

It is an arithmetic number, because the mean of its divisors is an integer number (133242512732).

Almost surely, 2^{10132244343200} is an apocalyptic number.

10132244343200 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 10132244343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14390191375056).

10132244343200 is an abundant number, since it is smaller than the sum of its proper divisors (18648138406912).

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

10132244343200 is a wasteful number, since it uses less digits than its factorization.

10132244343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59484 (or 59464 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10132244343200 its reverse (234344223101), we get a palindrome (10366588566301).

The spelling of 10132244343200 in words is "ten trillion, one hundred thirty-two billion, two hundred forty-four million, three hundred forty-three thousand, two hundred".