2112444020400 has 120 divisors (see below), whose sum is σ = 7733556996864. Its totient is φ = 482844345600.

The previous prime is 2112444020381. The next prime is 2112444020419. The reversal of 2112444020400 is 40204442112.

It is an interprime number because it is at equal distance from previous prime (2112444020381) and next prime (2112444020419).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 125732316 + ... + 125749115.

Almost surely, 2^{2112444020400} is an apocalyptic number.

2112444020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112444020400 is an abundant number, since it is smaller than the sum of its proper divisors (5621112976464).

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

2112444020400 is a wasteful number, since it uses less digits than its factorization.

2112444020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251481459 (or 251481448 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2112444020400 its reverse (40204442112), we get a palindrome (2152648462512).

The spelling of 2112444020400 in words is "two trillion, one hundred twelve billion, four hundred forty-four million, twenty thousand, four hundred".