121763040 has 288 divisors, whose sum is σ = 463325184. Its totient is φ = 26772480.

The previous prime is 121763029. The next prime is 121763069. The reversal of 121763040 is 40367121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121763040.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 729037 + ... + 729203.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 2^121763040 is an apocalyptic number.

121763040 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 121763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662592).

121763040 is an abundant number, since it is smaller than the sum of its proper divisors (341562144).

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

121763040 is a wasteful number, since it uses less digits than its factorization.

121763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 121763040 is about 11034.6291283396. The cubic root of 121763040 is about 495.6462531443.

The spelling of 121763040 in words is "one hundred twenty-one million, seven hundred sixty-three thousand, forty".