6121002112 has 64 divisors (see below), whose sum is σ = 12403251000. Its totient is φ = 3008323584.

The previous prime is 6121002101. The next prime is 6121002113. The reversal of 6121002112 is 2112001216.

It can be written as a sum of positive squares in 4 ways, for example, as 5938860096 + 182142016 = 77064^2 + 13496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (6121002113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3260118 + ... + 3261994.

Almost surely, 2^6121002112 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 6121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201625500).

6121002112 is an abundant number, since it is smaller than the sum of its proper divisors (6282248888).

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

6121002112 is a wasteful number, since it uses less digits than its factorization.

6121002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 6121002112 is about 78236.8334737545. The cubic root of 6121002112 is about 1829.2546868887.

Adding to 6121002112 its reverse (2112001216), we get a palindrome (8233003328).

The spelling of 6121002112 in words is "six billion, one hundred twenty-one million, two thousand, one hundred twelve".