2144205124200 has 288 divisors, whose sum is σ = 7496758301760. Its totient is φ = 569559859200.

The previous prime is 2144205124189. The next prime is 2144205124253. The reversal of 2144205124200 is 24215024412.

It is a happy number.

2144205124200 is a `hidden beast` number, since 2 + 1 + 442 + 0 + 5 + 12 + 4 + 200 = 666.

It is a super-2 number, since 2×2144205124200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 12404365 + ... + 12576035.

It is an arithmetic number, because the mean of its divisors is an integer number (26030410770).

Almost surely, 2^{2144205124200} is an apocalyptic number.

2144205124200 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 2144205124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748379150880).

2144205124200 is an abundant number, since it is smaller than the sum of its proper divisors (5352553177560).

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

2144205124200 is a wasteful number, since it uses less digits than its factorization.

2144205124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171959 (or 171938 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 2144205124200 in words is "two trillion, one hundred forty-four billion, two hundred five million, one hundred twenty-four thousand, two hundred".