121416840 has 256 divisors, whose sum is σ = 437472000. Its totient is φ = 29859840.

The previous prime is 121416833. The next prime is 121416857. The reversal of 121416840 is 48614121.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1251672 + ... + 1251768.

It is an arithmetic number, because the mean of its divisors is an integer number (1708875).

Almost surely, 2^121416840 is an apocalyptic number.

121416840 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 121416840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736000).

121416840 is an abundant number, since it is smaller than the sum of its proper divisors (316055160).

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

121416840 is a wasteful number, since it uses less digits than its factorization.

121416840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 121416840 is about 11018.9309826317. The cubic root of 121416840 is about 495.1760622557.

It can be divided in two parts, 12141 and 6840, that added together give a palindrome (18981).

The spelling of 121416840 in words is "one hundred twenty-one million, four hundred sixteen thousand, eight hundred forty".