125533441200 has 120 divisors (see below), whose sum is σ = 403187934400. Its totient is φ = 33387137280.

The previous prime is 125533441183. The next prime is 125533441219. The reversal of 125533441200 is 2144335521.

125533441200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316791 + ... + 592809.

Almost surely, 2^125533441200 is an apocalyptic number.

125533441200 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 125533441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201593967200).

125533441200 is an abundant number, since it is smaller than the sum of its proper divisors (277654493200).

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

125533441200 is a wasteful number, since it uses less digits than its factorization.

125533441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276419 (or 276408 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 125533441200 its reverse (2144335521), we get a palindrome (127677776721).

The spelling of 125533441200 in words is "one hundred twenty-five billion, five hundred thirty-three million, four hundred forty-one thousand, two hundred".