2124411233200 has 120 divisors (see below), whose sum is σ = 5223598422768. Its totient is φ = 829842800640.

The previous prime is 2124411233183. The next prime is 2124411233213. The reversal of 2124411233200 is 23321144212.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131967552 + ... + 131983648.

Almost surely, 2^{2124411233200} is an apocalyptic number.

2124411233200 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 2124411233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611799211384).

2124411233200 is an abundant number, since it is smaller than the sum of its proper divisors (3099187189568).

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

2124411233200 is a wasteful number, since it uses less digits than its factorization.

2124411233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23831 (or 23820 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2124411233200 its reverse (23321144212), we get a palindrome (2147732377412).

The spelling of 2124411233200 in words is "two trillion, one hundred twenty-four billion, four hundred eleven million, two hundred thirty-three thousand, two hundred".