12125114601600 has 4608 divisors, whose sum is σ = 58862982528000. Its totient is φ = 2149643059200.

The previous prime is 12125114601559. The next prime is 12125114601601. The reversal of 12125114601600 is 610641152121.

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

It is not an unprimeable number, because it can be changed into a prime (12125114601601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 67738070311 + ... + 67738070489.

It is an arithmetic number, because the mean of its divisors is an integer number (12774084750).

Almost surely, 2^{12125114601600} is an apocalyptic number.

12125114601600 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 12125114601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29431491264000).

12125114601600 is an abundant number, since it is smaller than the sum of its proper divisors (46737867926400).

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

12125114601600 is a wasteful number, since it uses less digits than its factorization.

12125114601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 12125114601600 its reverse (610641152121), we get a palindrome (12735755753721).

The spelling of 12125114601600 in words is "twelve trillion, one hundred twenty-five billion, one hundred fourteen million, six hundred one thousand, six hundred".