10123225432320 has 4608 divisors, whose sum is σ = 48704743342080. Its totient is φ = 1722474823680.

The previous prime is 10123225432289. The next prime is 10123225432321. The reversal of 10123225432320 is 2323452232101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10123225432321) 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 511 ways as a sum of consecutive naturals, for example, 128142094041 + ... + 128142094119.

It is an arithmetic number, because the mean of its divisors is an integer number (10569605760).

Almost surely, 2^{10123225432320} is an apocalyptic number.

10123225432320 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 10123225432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24352371671040).

10123225432320 is an abundant number, since it is smaller than the sum of its proper divisors (38581517909760).

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

10123225432320 is a wasteful number, since it uses less digits than its factorization.

10123225432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 10123225432320 its reverse (2323452232101), we get a palindrome (12446677664421).

It can be divided in two parts, 101232 and 25432320, that added together give a palindrome (25533552).

The spelling of 10123225432320 in words is "ten trillion, one hundred twenty-three billion, two hundred twenty-five million, four hundred thirty-two thousand, three hundred twenty".