121867560 has 96 divisors (see below), whose sum is σ = 419388840. Its totient is φ = 30584832.

The previous prime is 121867553. The next prime is 121867579. The reversal of 121867560 is 65768121.

121867560 is a `hidden beast` number, since 12 + 1 + 86 + 7 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79174404 + 42693156 = 8898^2 + 6534^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3837 + ... + 16076.

Almost surely, 2^121867560 is an apocalyptic number.

121867560 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 121867560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209694420).

121867560 is an abundant number, since it is smaller than the sum of its proper divisors (297521280).

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

121867560 is a wasteful number, since it uses less digits than its factorization.

121867560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19947 (or 19940 counting only the distinct ones).

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

The square root of 121867560 is about 11039.3641121217. The cubic root of 121867560 is about 495.7880316088.

The spelling of 121867560 in words is "one hundred twenty-one million, eight hundred sixty-seven thousand, five hundred sixty".