125623226760700 has 72 divisors (see below), whose sum is σ = 274753361187200. Its totient is φ = 49853300333760.

The previous prime is 125623226760697. The next prime is 125623226760709. The reversal of 125623226760700 is 7067622326521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125623226760709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16990411 + ... + 23236189.

Almost surely, 2^{125623226760700} is an apocalyptic number.

125623226760700 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 125623226760700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137376680593600).

125623226760700 is an abundant number, since it is smaller than the sum of its proper divisors (149130134426500).

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

125623226760700 is a wasteful number, since it uses less digits than its factorization.

125623226760700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247379 (or 6247372 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 125623226760700 in words is "one hundred twenty-five trillion, six hundred twenty-three billion, two hundred twenty-six million, seven hundred sixty thousand, seven hundred".