4134121000000 has 196 divisors, whose sum is σ = 10531667614804. Its totient is φ = 1608940800000.

The previous prime is 4134120999977. The next prime is 4134121000091. The reversal of 4134121000000 is 1214314.

It can be written as a sum of positive squares in 14 ways, for example, as 4076167178304 + 57953821696 = 2018952^2 + 240736^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 36944134 + ... + 37055866.

Almost surely, 2^{4134121000000} is an apocalyptic number.

4134121000000 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 4134121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265833807402).

4134121000000 is an abundant number, since it is smaller than the sum of its proper divisors (6397546614804).

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

4134121000000 is an frugal number, since it uses more digits than its factorization.

4134121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111812 (or 111777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 4134121000000 its reverse (1214314), we get a palindrome (4134122214314).

The spelling of 4134121000000 in words is "four trillion, one hundred thirty-four billion, one hundred twenty-one million", and thus it is an aban number.