121002112 has 64 divisors (see below), whose sum is σ = 300565440. Its totient is φ = 47139840.

The previous prime is 121002109. The next prime is 121002113. The reversal of 121002112 is 211200121.

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

It is a super-2 number, since 2×121002112² = 29283022216921088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121002113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3718 + ... + 15994.

It is an arithmetic number, because the mean of its divisors is an integer number (4696335).

Almost surely, 2^121002112 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 121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150282720).

121002112 is an abundant number, since it is smaller than the sum of its proper divisors (179563328).

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

121002112 is a wasteful number, since it uses less digits than its factorization.

121002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 121002112 is about 11000.0959995811. The cubic root of 121002112 is about 494.6116220317.

Adding to 121002112 its reverse (211200121), we get a palindrome (332202233).

The spelling of 121002112 in words is "one hundred twenty-one million, two thousand, one hundred twelve".