121146748800 has 1152 divisors, whose sum is σ = 513537131520. Its totient is φ = 24560025600.

The previous prime is 121146748783. The next prime is 121146748823. The reversal of 121146748800 is 8847641121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 382166242 + ... + 382166558.

It is an arithmetic number, because the mean of its divisors is an integer number (445778760).

Almost surely, 2^121146748800 is an apocalyptic number.

121146748800 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 121146748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256768565760).

121146748800 is an abundant number, since it is smaller than the sum of its proper divisors (392390382720).

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

121146748800 is a wasteful number, since it uses less digits than its factorization.

121146748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 121146748800 in words is "one hundred twenty-one billion, one hundred forty-six million, seven hundred forty-eight thousand, eight hundred".