121149216 has 96 divisors (see below), whose sum is σ = 355320000. Its totient is φ = 40158720.

The previous prime is 121149181. The next prime is 121149227. The reversal of 121149216 is 612941121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121149216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242535 + ... + 243033.

It is an arithmetic number, because the mean of its divisors is an integer number (3701250).

Almost surely, 2^121149216 is an apocalyptic number.

121149216 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 121149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177660000).

121149216 is an abundant number, since it is smaller than the sum of its proper divisors (234170784).

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

121149216 is a wasteful number, since it uses less digits than its factorization.

121149216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 121149216 is about 11006.7804557009. The cubic root of 121149216 is about 494.8119763393.

The spelling of 121149216 in words is "one hundred twenty-one million, one hundred forty-nine thousand, two hundred sixteen".