125420314120000 has 140 divisors (see below), whose sum is σ = 311167494481140. Its totient is φ = 50141367808000.

The previous prime is 125420314119907. The next prime is 125420314120001. The reversal of 125420314120000 is 21413024521.

It can be written as a sum of positive squares in 10 ways, for example, as 44721425758464 + 80698888361536 = 6687408^2 + 8983256^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125420314120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74244756 + ... + 75915244.

Almost surely, 2^{125420314120000} is an apocalyptic number.

125420314120000 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 125420314120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155583747240570).

125420314120000 is an abundant number, since it is smaller than the sum of its proper divisors (185747180361140).

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

125420314120000 is an equidigital number, since it uses as much as digits as its factorization.

125420314120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672398 (or 1672373 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 125420314120000 its reverse (21413024521), we get a palindrome (125441727144521).

The spelling of 125420314120000 in words is "one hundred twenty-five trillion, four hundred twenty billion, three hundred fourteen million, one hundred twenty thousand".