121470733728000 has 1440 divisors, whose sum is σ = 481570337888640. Its totient is φ = 30316596019200.

The previous prime is 121470733727969. The next prime is 121470733728059. The reversal of 121470733728000 is 827337074121.

121470733728000 is a `hidden beast` number, since 1 + 2 + 1 + 470 + 7 + 33 + 72 + 80 + 0 + 0 = 666.

121470733728000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 4087569142 + ... + 4087598858.

It is an arithmetic number, because the mean of its divisors is an integer number (334423845756).

Almost surely, 2^{121470733728000} is an apocalyptic number.

121470733728000 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 121470733728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240785168944320).

121470733728000 is an abundant number, since it is smaller than the sum of its proper divisors (360099604160640).

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

121470733728000 is an equidigital number, since it uses as much as digits as its factorization.

121470733728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29862 (or 29829 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 121470733728000 in words is "one hundred twenty-one trillion, four hundred seventy billion, seven hundred thirty-three million, seven hundred twenty-eight thousand".