125001111456 has 288 divisors, whose sum is σ = 392806814400. Its totient is φ = 37463150592.

The previous prime is 125001111439. The next prime is 125001111491. The reversal of 125001111456 is 654111100521.

125001111456 is a `hidden beast` number, since 1 + 2 + 500 + 1 + 11 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73572495 + ... + 73574193.

It is an arithmetic number, because the mean of its divisors is an integer number (1363912550).

Almost surely, 2^125001111456 is an apocalyptic number.

125001111456 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 125001111456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196403407200).

125001111456 is an abundant number, since it is smaller than the sum of its proper divisors (267805702944).

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

125001111456 is a wasteful number, since it uses less digits than its factorization.

125001111456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 125001111456 its reverse (654111100521), we get a palindrome (779112211977).

The spelling of 125001111456 in words is "one hundred twenty-five billion, one million, one hundred eleven thousand, four hundred fifty-six".