121648920307200 has 2880 divisors, whose sum is σ = 550498481717184. Its totient is φ = 25197281280000.

The previous prime is 121648920307147. The next prime is 121648920307207. The reversal of 121648920307200 is 2703029846121.

121648920307200 is a `hidden beast` number, since 1 + 2 + 1 + 64 + 89 + 2 + 0 + 307 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121648920307207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17083119640 + ... + 17083126760.

Almost surely, 2^{121648920307200} is an apocalyptic number.

121648920307200 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 121648920307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275249240858592).

121648920307200 is an abundant number, since it is smaller than the sum of its proper divisors (428849561409984).

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

121648920307200 is a wasteful number, since it uses less digits than its factorization.

121648920307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 121648920307200 in words is "one hundred twenty-one trillion, six hundred forty-eight billion, nine hundred twenty million, three hundred seven thousand, two hundred".