121305924100 has 81 divisors (see below), whose sum is σ = 272851072221. Its totient is φ = 46810176000.

The previous prime is 121305924097. The next prime is 121305924109. The reversal of 121305924100 is 1429503121.

The square root of 121305924100 is 348290.

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

It can be written as a sum of positive squares in 13 ways, for example, as 120593674756 + 712249344 = 347266^2 + 26688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121305924109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101003500 + ... + 101004700.

Almost surely, 2^121305924100 is an apocalyptic number.

121305924100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121305924100 is the 348290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121305924100

121305924100 is an abundant number, since it is smaller than the sum of its proper divisors (151545148121).

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

121305924100 is an equidigital number, since it uses as much as digits as its factorization.

121305924100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 121305924100 in words is "one hundred twenty-one billion, three hundred five million, nine hundred twenty-four thousand, one hundred".