125005213440 has 1440 divisors, whose sum is σ = 512851046400. Its totient is φ = 28904325120.

The previous prime is 125005213423. The next prime is 125005213469. The reversal of 125005213440 is 44312500521.

125005213440 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 0 + 5 + 213 + 440 = 666.

125005213440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1404552916 + ... + 1404553004.

It is an arithmetic number, because the mean of its divisors is an integer number (356146560).

Almost surely, 2^125005213440 is an apocalyptic number.

125005213440 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 125005213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256425523200).

125005213440 is an abundant number, since it is smaller than the sum of its proper divisors (387845832960).

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

125005213440 is a wasteful number, since it uses less digits than its factorization.

125005213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 125005213440 its reverse (44312500521), we get a palindrome (169317713961).

The spelling of 125005213440 in words is "one hundred twenty-five billion, five million, two hundred thirteen thousand, four hundred forty".