12541701332400 has 480 divisors, whose sum is σ = 43761139107840. Its totient is φ = 3058229084160.

The previous prime is 12541701332387. The next prime is 12541701332401. The reversal of 12541701332400 is 423310714521.

12541701332400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12541701332400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12541701332401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131307861 + ... + 131403339.

It is an arithmetic number, because the mean of its divisors is an integer number (91169039808).

Almost surely, 2^{12541701332400} is an apocalyptic number.

12541701332400 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 12541701332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21880569553920).

12541701332400 is an abundant number, since it is smaller than the sum of its proper divisors (31219437775440).

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

12541701332400 is a wasteful number, since it uses less digits than its factorization.

12541701332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95701 (or 95690 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 12541701332400 in words is "twelve trillion, five hundred forty-one billion, seven hundred one million, three hundred thirty-two thousand, four hundred".