2112144231120 has 640 divisors, whose sum is σ = 8419881664512. Its totient is φ = 425278464000.

The previous prime is 2112144231107. The next prime is 2112144231137. The reversal of 2112144231120 is 211324412112.

It is a super-2 number, since 2×2112144231120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87712522 + ... + 87736598.

Almost surely, 2^{2112144231120} is an apocalyptic number.

2112144231120 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 2112144231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209940832256).

2112144231120 is an abundant number, since it is smaller than the sum of its proper divisors (6307737433392).

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

2112144231120 is a wasteful number, since it uses less digits than its factorization.

2112144231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24259 (or 24253 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 2112144231120 its reverse (211324412112), we get a palindrome (2323468643232).

The spelling of 2112144231120 in words is "two trillion, one hundred twelve billion, one hundred forty-four million, two hundred thirty-one thousand, one hundred twenty".