121550284800 has 1440 divisors, whose sum is σ = 530853523200. Its totient is φ = 26913669120.

The previous prime is 121550284783. The next prime is 121550284837. The reversal of 121550284800 is 8482055121.

121550284800 is a `hidden beast` number, since 1 + 2 + 1 + 550 + 28 + 4 + 80 + 0 = 666.

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

It is a super-2 number, since 2×121550284800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1538611161 + ... + 1538611239.

It is an arithmetic number, because the mean of its divisors is an integer number (368648280).

Almost surely, 2^121550284800 is an apocalyptic number.

121550284800 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 121550284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265426761600).

121550284800 is an abundant number, since it is smaller than the sum of its proper divisors (409303238400).

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

121550284800 is an equidigital number, since it uses as much as digits as its factorization.

121550284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 121550284800 in words is "one hundred twenty-one billion, five hundred fifty million, two hundred eighty-four thousand, eight hundred".