125513012341200 has 480 divisors, whose sum is σ = 440732387571840. Its totient is φ = 30280369766400.

The previous prime is 125513012341181. The next prime is 125513012341217. The reversal of 125513012341200 is 2143210315521.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6240382344 + ... + 6240402456.

It is an arithmetic number, because the mean of its divisors is an integer number (918192474108).

Almost surely, 2^{125513012341200} is an apocalyptic number.

125513012341200 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 125513012341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220366193785920).

125513012341200 is an abundant number, since it is smaller than the sum of its proper divisors (315219375230640).

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

125513012341200 is a wasteful number, since it uses less digits than its factorization.

125513012341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22407 (or 22396 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 125513012341200 its reverse (2143210315521), we get a palindrome (127656222656721).

The spelling of 125513012341200 in words is "one hundred twenty-five trillion, five hundred thirteen billion, twelve million, three hundred forty-one thousand, two hundred".