121553616000 has 256 divisors, whose sum is σ = 416849846400. Its totient is φ = 31296204800.

The previous prime is 121553615999. The next prime is 121553616011. The reversal of 121553616000 is 616355121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348339 + ... + 1435661.

Almost surely, 2^121553616000 is an apocalyptic number.

121553616000 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 121553616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208424923200).

121553616000 is an abundant number, since it is smaller than the sum of its proper divisors (295296230400).

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

121553616000 is an equidigital number, since it uses as much as digits as its factorization.

121553616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87384 (or 87362 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 121553616000 in words is "one hundred twenty-one billion, five hundred fifty-three million, six hundred sixteen thousand".