125175048261120 has 640 divisors, whose sum is σ = 522365146490880. Its totient is φ = 28011197399040.

The previous prime is 125175048261079. The next prime is 125175048261121. The reversal of 125175048261120 is 21162840571521.

125175048261120 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 7 + 5 + 0 + 4 + 8 + 2 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×125175048261120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125175048261121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3552057 + ... + 16216263.

It is an arithmetic number, because the mean of its divisors is an integer number (816195541392).

Almost surely, 2^{125175048261120} is an apocalyptic number.

125175048261120 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 125175048261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261182573245440).

125175048261120 is an abundant number, since it is smaller than the sum of its proper divisors (397190098229760).

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

125175048261120 is a wasteful number, since it uses less digits than its factorization.

125175048261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664263 (or 12664241 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 125175048261120 in words is "one hundred twenty-five trillion, one hundred seventy-five billion, forty-eight million, two hundred sixty-one thousand, one hundred twenty".