121213000 has 64 divisors (see below), whose sum is σ = 289785600. Its totient is φ = 47435200.

The previous prime is 121212979. The next prime is 121213021. The reversal of 121213000 is 312121.

It is an interprime number because it is at equal distance from previous prime (121212979) and next prime (121213021).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45711 + ... + 48289.

It is an arithmetic number, because the mean of its divisors is an integer number (4527900).

Almost surely, 2^121213000 is an apocalyptic number.

121213000 is a gapful number since it is divisible by the number (10) 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 121213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144892800).

121213000 is an abundant number, since it is smaller than the sum of its proper divisors (168572600).

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

121213000 is a wasteful number, since it uses less digits than its factorization.

121213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 121213000 is about 11009.6775611278. The cubic root of 121213000 is about 494.8987991596.

Adding to 121213000 its reverse (312121), we get a palindrome (121525121).

The spelling of 121213000 in words is "one hundred twenty-one million, two hundred thirteen thousand".