2124001004112 has 1280 divisors, whose sum is σ = 7493460387840. Its totient is φ = 569327616000.

The previous prime is 2124001004071. The next prime is 2124001004137. The reversal of 2124001004112 is 2114001004212.

2124001004112 is a `hidden beast` number, since 2 + 1 + 240 + 0 + 10 + 0 + 411 + 2 = 666.

It is a super-2 number, since 2×2124001004112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13528668738 + ... + 13528668894.

It is an arithmetic number, because the mean of its divisors is an integer number (5854265928).

Almost surely, 2^{2124001004112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124001004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746730193920).

2124001004112 is an abundant number, since it is smaller than the sum of its proper divisors (5369459383728).

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

2124001004112 is a wasteful number, since it uses less digits than its factorization.

2124001004112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2124001004112 its reverse (2114001004212), we get a palindrome (4238002008324).

It can be divided in two parts, 212400100 and 4112, that added together give a palindrome (212404212).

The spelling of 2124001004112 in words is "two trillion, one hundred twenty-four billion, one million, four thousand, one hundred twelve".