2104214124012 has 648 divisors, whose sum is σ = 6852265761600. Its totient is φ = 500479499520.

The previous prime is 2104214124011. The next prime is 2104214124013.

It is a happy number.

2104214124012 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2104214124011) and next prime (2104214124013).

It is a super-2 number, since 2×2104214124012² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2104214124011) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1671337039 + ... + 1671338297.

It is an arithmetic number, because the mean of its divisors is an integer number (10574484200).

Almost surely, 2^{2104214124012} is an apocalyptic number.

2104214124012 is a gapful number since it is divisible by the number (22) 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 2104214124012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426132880800).

2104214124012 is an abundant number, since it is smaller than the sum of its proper divisors (4748051637588).

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

2104214124012 is a wasteful number, since it uses less digits than its factorization.

2104214124012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 2104214124012 in words is "two trillion, one hundred four billion, two hundred fourteen million, one hundred twenty-four thousand, twelve".