125521321440 has 96 divisors (see below), whose sum is σ = 396512788896. Its totient is φ = 33377484800.

The previous prime is 125521321423. The next prime is 125521321447. The reversal of 125521321440 is 44123125521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 125521321398 and 125521321407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125521321447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200961 + ... + 539840.

It is an arithmetic number, because the mean of its divisors is an integer number (4130341551).

Almost surely, 2^125521321440 is an apocalyptic number.

125521321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125521321440 is an abundant number, since it is smaller than the sum of its proper divisors (270991467456).

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

125521321440 is a wasteful number, since it uses less digits than its factorization.

125521321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741172 (or 741164 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 125521321440 its reverse (44123125521), we get a palindrome (169644446961).

The spelling of 125521321440 in words is "one hundred twenty-five billion, five hundred twenty-one million, three hundred twenty-one thousand, four hundred forty".