125515445145312 has 192 divisors, whose sum is σ = 352011822926400. Its totient is φ = 39022753480704.

The previous prime is 125515445145257. The next prime is 125515445145313. The reversal of 125515445145312 is 213541544515521.

125515445145312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125515445145313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104695708 + ... + 105887780.

It is an arithmetic number, because the mean of its divisors is an integer number (1833394911075).

Almost surely, 2^{125515445145312} is an apocalyptic number.

125515445145312 is a gapful number since it is divisible by the number (12) 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 125515445145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176005911463200).

125515445145312 is an abundant number, since it is smaller than the sum of its proper divisors (226496377781088).

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

125515445145312 is a wasteful number, since it uses less digits than its factorization.

125515445145312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192685 (or 1192677 counting only the distinct ones).

The product of its digits is 2400000, while the sum is 48.

The spelling of 125515445145312 in words is "one hundred twenty-five trillion, five hundred fifteen billion, four hundred forty-five million, one hundred forty-five thousand, three hundred twelve".