125123277312 has 960 divisors, whose sum is σ = 445838131200. Its totient is φ = 34488115200.

The previous prime is 125123277259. The next prime is 125123277319. The reversal of 125123277312 is 213772321521.

125123277312 is a `hidden beast` number, since 1 + 2 + 5 + 12 + 327 + 7 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125123277319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 985222593 + ... + 985222719.

It is an arithmetic number, because the mean of its divisors is an integer number (464414720).

Almost surely, 2^125123277312 is an apocalyptic number.

125123277312 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 125123277312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222919065600).

125123277312 is an abundant number, since it is smaller than the sum of its proper divisors (320714853888).

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

125123277312 is a wasteful number, since it uses less digits than its factorization.

125123277312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 193 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

Adding to 125123277312 its reverse (213772321521), we get a palindrome (338895598833).

The spelling of 125123277312 in words is "one hundred twenty-five billion, one hundred twenty-three million, two hundred seventy-seven thousand, three hundred twelve".