121753040 has 20 divisors (see below), whose sum is σ = 283076004. Its totient is φ = 48701184.

The previous prime is 121752989. The next prime is 121753061. The reversal of 121753040 is 40357121.

It can be written as a sum of positive squares in 2 ways, for example, as 86564416 + 35188624 = 9304^2 + 5932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 121752997 and 121753015.

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 3 ways as a sum of consecutive naturals, for example, 760877 + ... + 761036.

Almost surely, 2^121753040 is an apocalyptic number.

121753040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121753040 is an abundant number, since it is smaller than the sum of its proper divisors (161322964).

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

121753040 is a wasteful number, since it uses less digits than its factorization.

121753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521926 (or 1521920 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 121753040 is about 11034.1760000464. The cubic root of 121753040 is about 495.6326841713.

The spelling of 121753040 in words is "one hundred twenty-one million, seven hundred fifty-three thousand, forty".