121295616 has 72 divisors (see below), whose sum is σ = 347684400. Its totient is φ = 37318656.

The previous prime is 121295611. The next prime is 121295627. The reversal of 121295616 is 616592121.

It is not an unprimeable number, because it can be changed into a prime (121295611) 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, 3910 + ... + 16058.

It is an arithmetic number, because the mean of its divisors is an integer number (4828950).

Almost surely, 2^121295616 is an apocalyptic number.

121295616 is a gapful number since it is divisible by the number (16) 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 121295616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173842200).

121295616 is an abundant number, since it is smaller than the sum of its proper divisors (226388784).

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

121295616 is a wasteful number, since it uses less digits than its factorization.

121295616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12181 (or 12167 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 121295616 is about 11013.4288938550. The cubic root of 121295616 is about 495.0112108470.

The spelling of 121295616 in words is "one hundred twenty-one million, two hundred ninety-five thousand, six hundred sixteen".