121198064 has 40 divisors (see below), whose sum is σ = 255764880. Its totient is φ = 55300608.

The previous prime is 121198061. The next prime is 121198067. The reversal of 121198064 is 460891121.

It is an interprime number because it is at equal distance from previous prime (121198061) and next prime (121198067).

It is a self number, because there is not a number n which added to its sum of digits gives 121198064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121198061) 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, 15239 + ... + 21785.

It is an arithmetic number, because the mean of its divisors is an integer number (6394122).

Almost surely, 2^121198064 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 121198064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127882440).

121198064 is an abundant number, since it is smaller than the sum of its proper divisors (134566816).

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

121198064 is a wasteful number, since it uses less digits than its factorization.

121198064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 121198064 is about 11008.9992279044. Note that the first 3 decimals coincide. The cubic root of 121198064 is about 494.8784709987.

The spelling of 121198064 in words is "one hundred twenty-one million, one hundred ninety-eight thousand, sixty-four".