125345321223200 has 288 divisors, whose sum is σ = 349046797606416. Its totient is φ = 43543367516160.

The previous prime is 125345321223167. The next prime is 125345321223209. The reversal of 125345321223200 is 2322123543521.

It can be written as a sum of positive squares in 24 ways, for example, as 34561088961424 + 90784232261776 = 5878868^2 + 9528076^2 .

It is a super-3 number, since 3×125345321223200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (125345321223209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500749274 + ... + 500999526.

Almost surely, 2^{125345321223200} is an apocalyptic number.

125345321223200 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 125345321223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174523398803208).

125345321223200 is an abundant number, since it is smaller than the sum of its proper divisors (223701476383216).

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

125345321223200 is a wasteful number, since it uses less digits than its factorization.

125345321223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253136 (or 253123 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 125345321223200 its reverse (2322123543521), we get a palindrome (127667444766721).

The spelling of 125345321223200 in words is "one hundred twenty-five trillion, three hundred forty-five billion, three hundred twenty-one million, two hundred twenty-three thousand, two hundred".