121805376 has 252 divisors, whose sum is σ = 415923984. Its totient is φ = 31342080.

The previous prime is 121805363. The next prime is 121805377. The reversal of 121805376 is 673508121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (121805377) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1138315 + ... + 1138421.

It is an arithmetic number, because the mean of its divisors is an integer number (1650492).

Almost surely, 2^121805376 is an apocalyptic number.

121805376 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 121805376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207961992).

121805376 is an abundant number, since it is smaller than the sum of its proper divisors (294118608).

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

121805376 is a wasteful number, since it uses less digits than its factorization.

121805376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 121805376 is about 11036.5472861761. The cubic root of 121805376 is about 495.7036905196.

The spelling of 121805376 in words is "one hundred twenty-one million, eight hundred five thousand, three hundred seventy-six".