121118498242560 has 7680 divisors, whose sum is σ = 624012860620800. Its totient is φ = 21794912206848.

The previous prime is 121118498242559. The next prime is 121118498242561. The reversal of 121118498242560 is 65242894811121.

121118498242560 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 1 + 84 + 9 + 82 + 425 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (121118498242559) and next prime (121118498242561).

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 121118498242497 and 121118498242506.

It is not an unprimeable number, because it can be changed into a prime (121118498242561) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5266021662709 + ... + 5266021662731.

It is an arithmetic number, because the mean of its divisors is an integer number (81251674560).

Almost surely, 2^{121118498242560} is an apocalyptic number.

121118498242560 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 121118498242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312006430310400).

121118498242560 is an abundant number, since it is smaller than the sum of its proper divisors (502894362378240).

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

121118498242560 is an equidigital number, since it uses as much as digits as its factorization.

121118498242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 121118498242560 in words is "one hundred twenty-one trillion, one hundred eighteen billion, four hundred ninety-eight million, two hundred forty-two thousand, five hundred sixty".