125412000 has 192 divisors, whose sum is σ = 469857024. Its totient is φ = 28646400.

The previous prime is 125411999. The next prime is 125412013. The reversal of 125412000 is 214521.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83254 + ... + 84746.

It is an arithmetic number, because the mean of its divisors is an integer number (2447172).

Almost surely, 2^125412000 is an apocalyptic number.

125412000 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 125412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234928512).

125412000 is an abundant number, since it is smaller than the sum of its proper divisors (344445024).

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

125412000 is a wasteful number, since it uses less digits than its factorization.

125412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 125412000 is about 11198.7499302377. The cubic root of 125412000 is about 500.5487309018.

Adding to 125412000 its reverse (214521), we get a palindrome (125626521).

It can be divided in two parts, 12541 and 2000, that added together give a palindrome (14541).

The spelling of 125412000 in words is "one hundred twenty-five million, four hundred twelve thousand".