4244121000000 has 2352 divisors, whose sum is σ = 18944982501120. Its totient is φ = 887040000000.

The previous prime is 4244120999957. The next prime is 4244121000047. The reversal of 4244121000000 is 1214424.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 42020999950 + ... + 42021000050.

Almost surely, 2^{4244121000000} is an apocalyptic number.

4244121000000 is a gapful number since it is divisible by the number (40) 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 4244121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9472491250560).

4244121000000 is an abundant number, since it is smaller than the sum of its proper divisors (14700861501120).

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

4244121000000 is a wasteful number, since it uses less digits than its factorization.

4244121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 4244121000000 its reverse (1214424), we get a palindrome (4244122214424).

The spelling of 4244121000000 in words is "four trillion, two hundred forty-four billion, one hundred twenty-one million", and thus it is an aban number.