21004211240012 has 96 divisors (see below), whose sum is σ = 49358066548224. Its totient is φ = 7553118067200.

The previous prime is 21004211239951. The next prime is 21004211240029.

21004211240012 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36111848 + ... + 36688880.

It is an arithmetic number, because the mean of its divisors is an integer number (514146526544).

Almost surely, 2^{21004211240012} is an apocalyptic number.

21004211240012 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 21004211240012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24679033274112).

21004211240012 is an abundant number, since it is smaller than the sum of its proper divisors (28353855308212).

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

21004211240012 is a wasteful number, since it uses less digits than its factorization.

21004211240012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586159 (or 586157 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 2100421 and 1240012, that added together give a palindrome (3340433).

The spelling of 21004211240012 in words is "twenty-one trillion, four billion, two hundred eleven million, two hundred forty thousand, twelve".