121003312 has 40 divisors (see below), whose sum is σ = 246011040. Its totient is φ = 57576960.

The previous prime is 121003303. The next prime is 121003313. The reversal of 121003312 is 213300121.

It is a junction number, because it is equal to n+sod(n) for n = 121003292 and 121003301.

It is not an unprimeable number, because it can be changed into a prime (121003313) 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, 31108 + ... + 34780.

It is an arithmetic number, because the mean of its divisors is an integer number (6150276).

Almost surely, 2^121003312 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 121003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123005520).

121003312 is an abundant number, since it is smaller than the sum of its proper divisors (125007728).

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

121003312 is a wasteful number, since it uses less digits than its factorization.

121003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 121003312 is about 11000.1505444244. The cubic root of 121003312 is about 494.6132570775.

Adding to 121003312 its reverse (213300121), we get a palindrome (334303433).

The spelling of 121003312 in words is "one hundred twenty-one million, three thousand, three hundred twelve".