121416460 has 96 divisors (see below), whose sum is σ = 302561280. Its totient is φ = 40435200.

The previous prime is 121416437. The next prime is 121416469. The reversal of 121416460 is 64614121.

It is not an unprimeable number, because it can be changed into a prime (121416469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129112 + ... + 130048.

It is an arithmetic number, because the mean of its divisors is an integer number (3151680).

Almost surely, 2^121416460 is an apocalyptic number.

121416460 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 121416460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151280640).

121416460 is an abundant number, since it is smaller than the sum of its proper divisors (181144820).

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

121416460 is a wasteful number, since it uses less digits than its factorization.

121416460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 121416460 is about 11018.9137395662. The cubic root of 121416460 is about 495.1755456687.

The spelling of 121416460 in words is "one hundred twenty-one million, four hundred sixteen thousand, four hundred sixty".