121180572100 has 81 divisors (see below), whose sum is σ = 305955910407. Its totient is φ = 41539270080.

The previous prime is 121180572083. The next prime is 121180572109. The reversal of 121180572100 is 1275081121.

The square root of 121180572100 is 348110.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9746884 + 121170825216 = 3122^2 + 348096^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (121180572109) by changing a digit.

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, 24365214 + ... + 24370186.

Almost surely, 2^121180572100 is an apocalyptic number.

121180572100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121180572100 is the 348110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121180572100

121180572100 is an abundant number, since it is smaller than the sum of its proper divisors (184775338307).

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

121180572100 is an frugal number, since it uses more digits than its factorization.

121180572100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 28.

The spelling of 121180572100 in words is "one hundred twenty-one billion, one hundred eighty million, five hundred seventy-two thousand, one hundred".