125267016000 has 896 divisors, whose sum is σ = 522565115904. Its totient is φ = 25763020800.

The previous prime is 125267015987. The next prime is 125267016001. The reversal of 125267016000 is 610762521.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125267016001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65687047 + ... + 65688953.

Almost surely, 2^125267016000 is an apocalyptic number.

125267016000 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 125267016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261282557952).

125267016000 is an abundant number, since it is smaller than the sum of its proper divisors (397298099904).

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

125267016000 is a wasteful number, since it uses less digits than its factorization.

125267016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 125267016000 its reverse (610762521), we get a palindrome (125877778521).

The spelling of 125267016000 in words is "one hundred twenty-five billion, two hundred sixty-seven million, sixteen thousand".