125561216 has 80 divisors (see below), whose sum is σ = 279260700. Its totient is φ = 56221440.

The previous prime is 125561203. The next prime is 125561243. The reversal of 125561216 is 612165521.

It is a happy number.

Its product of digits (3600) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1874015 + ... + 1874081.

Almost surely, 2^125561216 is an apocalyptic number.

125561216 is a gapful number since it is divisible by the number (16) 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 125561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139630350).

125561216 is an abundant number, since it is smaller than the sum of its proper divisors (153699484).

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

125561216 is an frugal number, since it uses more digits than its factorization.

125561216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 80 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

The square root of 125561216 is about 11205.4101219009. The cubic root of 125561216 is about 500.7471709151.

The spelling of 125561216 in words is "one hundred twenty-five million, five hundred sixty-one thousand, two hundred sixteen".