121089346560 has 1056 divisors, whose sum is σ = 525319022592. Its totient is φ = 25108807680.

The previous prime is 121089346541. The next prime is 121089346579. The reversal of 121089346560 is 65643980121.

121089346560 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 89 + 3 + 4 + 6 + 560 = 666.

121089346560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121089346541) and next prime (121089346579).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280949545 + ... + 280949975.

Almost surely, 2^121089346560 is an apocalyptic number.

121089346560 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 121089346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262659511296).

121089346560 is an abundant number, since it is smaller than the sum of its proper divisors (404229676032).

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

121089346560 is a wasteful number, since it uses less digits than its factorization.

121089346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 121089346560 in words is "one hundred twenty-one billion, eighty-nine million, three hundred forty-six thousand, five hundred sixty".