121318002 has 72 divisors (see below), whose sum is σ = 299754000. Its totient is φ = 35347104.

The previous prime is 121317979. The next prime is 121318003. The reversal of 121318002 is 200813121.

It is a super-3 number, since 3×121318002³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121318003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56749 + ... + 58847.

It is an arithmetic number, because the mean of its divisors is an integer number (4163250).

Almost surely, 2^121318002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121318002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149877000).

121318002 is an abundant number, since it is smaller than the sum of its proper divisors (178435998).

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

121318002 is a wasteful number, since it uses less digits than its factorization.

121318002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121318002 is about 11014.4451517087. The cubic root of 121318002 is about 495.0416616297.

The spelling of 121318002 in words is "one hundred twenty-one million, three hundred eighteen thousand, two".