2127217413200 has 360 divisors, whose sum is σ = 5760002252928. Its totient is φ = 753984000000.

The previous prime is 2127217413163. The next prime is 2127217413323. The reversal of 2127217413200 is 23147127212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1562980520 + ... + 1562981880.

Almost surely, 2^{2127217413200} is an apocalyptic number.

2127217413200 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 2127217413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880001126464).

2127217413200 is an abundant number, since it is smaller than the sum of its proper divisors (3632784839728).

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

2127217413200 is a wasteful number, since it uses less digits than its factorization.

2127217413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 2127217413200 in words is "two trillion, one hundred twenty-seven billion, two hundred seventeen million, four hundred thirteen thousand, two hundred".