125552022400 has 192 divisors, whose sum is σ = 354776400000. Its totient is φ = 43008030720.

The previous prime is 125552022391. The next prime is 125552022403. The reversal of 125552022400 is 4220255521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125552022403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38055951 + ... + 38059249.

It is an arithmetic number, because the mean of its divisors is an integer number (1847793750).

Almost surely, 2^125552022400 is an apocalyptic number.

125552022400 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 125552022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177388200000).

125552022400 is an abundant number, since it is smaller than the sum of its proper divisors (229224377600).

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

125552022400 is a wasteful number, since it uses less digits than its factorization.

125552022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

Adding to 125552022400 its reverse (4220255521), we get a palindrome (129772277921).

The spelling of 125552022400 in words is "one hundred twenty-five billion, five hundred fifty-two million, twenty-two thousand, four hundred".