121055284900 has 81 divisors (see below), whose sum is σ = 288833182113. Its totient is φ = 44006186400.

The previous prime is 121055284897. The next prime is 121055284927. The reversal of 121055284900 is 9482550121.

The square root of 121055284900 is 347930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43579902564 + 77475382336 = 208758^2 + 278344^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121055284900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38270719 + ... + 38273881.

Almost surely, 2^121055284900 is an apocalyptic number.

121055284900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121055284900 is the 347930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121055284900

121055284900 is an abundant number, since it is smaller than the sum of its proper divisors (167777897213).

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

121055284900 is an equidigital number, since it uses as much as digits as its factorization.

121055284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 121055284900 in words is "one hundred twenty-one billion, fifty-five million, two hundred eighty-four thousand, nine hundred".