121205000 has 80 divisors (see below), whose sum is σ = 324646080. Its totient is φ = 41544000.

The previous prime is 121204997. The next prime is 121205027. The reversal of 121205000 is 502121.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33269 + ... + 36731.

It is an arithmetic number, because the mean of its divisors is an integer number (4058076).

Almost surely, 2^121205000 is an apocalyptic number.

121205000 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 121205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162323040).

121205000 is an abundant number, since it is smaller than the sum of its proper divisors (203441080).

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

121205000 is an equidigital number, since it uses as much as digits as its factorization.

121205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 121205000 is about 11009.3142384074. The cubic root of 121205000 is about 494.8879112254.

Adding to 121205000 its reverse (502121), we get a palindrome (121707121).

The spelling of 121205000 in words is "one hundred twenty-one million, two hundred five thousand".