125601840000 has 1920 divisors, whose sum is σ = 584578874880. Its totient is φ = 26127360000.

The previous prime is 125601839963. The next prime is 125601840017. The reversal of 125601840000 is 48106521.

125601840000 is a `hidden beast` number, since 1 + 256 + 0 + 1 + 8 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×125601840000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1769039965 + ... + 1769040035.

It is an arithmetic number, because the mean of its divisors is an integer number (304468164).

Almost surely, 2^125601840000 is an apocalyptic number.

125601840000 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 125601840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292289437440).

125601840000 is an abundant number, since it is smaller than the sum of its proper divisors (458977034880).

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

125601840000 is an frugal number, since it uses more digits than its factorization.

125601840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 125601840000 its reverse (48106521), we get a palindrome (125649946521).

The spelling of 125601840000 in words is "one hundred twenty-five billion, six hundred one million, eight hundred forty thousand".