2127211274400 has 288 divisors, whose sum is σ = 7004269698048. Its totient is φ = 560709811200.

The previous prime is 2127211274389. The next prime is 2127211274401. The reversal of 2127211274400 is 44721127212.

It is not an unprimeable number, because it can be changed into a prime (2127211274401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118889455 + ... + 118907345.

It is an arithmetic number, because the mean of its divisors is an integer number (24320380896).

Almost surely, 2^{2127211274400} is an apocalyptic number.

2127211274400 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 2127211274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502134849024).

2127211274400 is an abundant number, since it is smaller than the sum of its proper divisors (4877058423648).

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

2127211274400 is a wasteful number, since it uses less digits than its factorization.

2127211274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18484 (or 18471 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 2127211274400 in words is "two trillion, one hundred twenty-seven billion, two hundred eleven million, two hundred seventy-four thousand, four hundred".