125146668211200 has 660 divisors, whose sum is σ = 463932655812912. Its totient is φ = 33334330982400.

The previous prime is 125146668211157. The next prime is 125146668211207. The reversal of 125146668211200 is 2112866641521.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125146668211207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1839249180 + ... + 1839317220.

Almost surely, 2^{125146668211200} is an apocalyptic number.

125146668211200 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 125146668211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231966327906456).

125146668211200 is an abundant number, since it is smaller than the sum of its proper divisors (338785987601712).

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

125146668211200 is an equidigital number, since it uses as much as digits as its factorization.

125146668211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68970 (or 68938 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 125146668211200 in words is "one hundred twenty-five trillion, one hundred forty-six billion, six hundred sixty-eight million, two hundred eleven thousand, two hundred".