121648988160 has 960 divisors, whose sum is σ = 505565975040. Its totient is φ = 27518828544.

The previous prime is 121648988159. The next prime is 121648988173. The reversal of 121648988160 is 61889846121.

It is a happy number.

121648988160 is a `hidden beast` number, since 1 + 21 + 6 + 489 + 8 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 121648988097 and 121648988106.

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 63 ways as a sum of consecutive naturals, for example, 1254113232 + ... + 1254113328.

It is an arithmetic number, because the mean of its divisors is an integer number (526631224).

Almost surely, 2^121648988160 is an apocalyptic number.

121648988160 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 121648988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252782987520).

121648988160 is an abundant number, since it is smaller than the sum of its proper divisors (383916986880).

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

121648988160 is an frugal number, since it uses more digits than its factorization.

121648988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 121648988160 in words is "one hundred twenty-one billion, six hundred forty-eight million, nine hundred eighty-eight thousand, one hundred sixty".