121876560 has 240 divisors, whose sum is σ = 457002000. Its totient is φ = 28901376.

The previous prime is 121876543. The next prime is 121876603. The reversal of 121876560 is 65678121.

121876560 is a `hidden beast` number, since 1 + 21 + 8 + 76 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4717584 + 117158976 = 2172^2 + 10824^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271216 + ... + 271664.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 2^121876560 is an apocalyptic number.

121876560 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 121876560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228501000).

121876560 is an abundant number, since it is smaller than the sum of its proper divisors (335125440).

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

121876560 is a wasteful number, since it uses less digits than its factorization.

121876560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 121876560 is about 11039.7717367706. The cubic root of 121876560 is about 495.8002360665.

The spelling of 121876560 in words is "one hundred twenty-one million, eight hundred seventy-six thousand, five hundred sixty".