2131068127200 has 144 divisors (see below), whose sum is σ = 6938155148400. Its totient is φ = 568159621120.

The previous prime is 2131068127189. The next prime is 2131068127207. The reversal of 2131068127200 is 27218601312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131068127207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11062102 + ... + 11253098.

It is an arithmetic number, because the mean of its divisors is an integer number (48181632975).

Almost surely, 2^{2131068127200} is an apocalyptic number.

2131068127200 is a gapful number since it is divisible by the number (20) 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 2131068127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469077574200).

2131068127200 is an abundant number, since it is smaller than the sum of its proper divisors (4807087021200).

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

2131068127200 is a wasteful number, since it uses less digits than its factorization.

2131068127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195669 (or 195656 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 2131068127200 in words is "two trillion, one hundred thirty-one billion, sixty-eight million, one hundred twenty-seven thousand, two hundred".