2124311214400 has 84 divisors (see below), whose sum is σ = 5534611781148. Its totient is φ = 799740682240.

The previous prime is 2124311214379. The next prime is 2124311214407. The reversal of 2124311214400 is 44121134212.

It can be written as a sum of positive squares in 6 ways, for example, as 1065891904 + 2123245322496 = 32648^2 + 1457136^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124311214407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39022639 + ... + 39077038.

Almost surely, 2^{2124311214400} is an apocalyptic number.

2124311214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124311214400 is an abundant number, since it is smaller than the sum of its proper divisors (3410300566748).

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

2124311214400 is a wasteful number, since it uses less digits than its factorization.

2124311214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78099716 (or 78099701 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2124311214400 its reverse (44121134212), we get a palindrome (2168432348612).

The spelling of 2124311214400 in words is "two trillion, one hundred twenty-four billion, three hundred eleven million, two hundred fourteen thousand, four hundred".