121429947024 has 135 divisors (see below), whose sum is σ = 345533845449. Its totient is φ = 39808984320.

The previous prime is 121429946987. The next prime is 121429947029. The reversal of 121429947024 is 420749924121.

The square root of 121429947024 is 348468.

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

121429947024 is a `hidden beast` number, since 12 + 142 + 9 + 9 + 470 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110976929424 + 10453017600 = 333132^2 + 102240^2 .

It is not an unprimeable number, because it can be changed into a prime (121429947029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 296894532 + ... + 296894940.

Almost surely, 2^121429947024 is an apocalyptic number.

121429947024 is the 348468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121429947024

121429947024 is an abundant number, since it is smaller than the sum of its proper divisors (224103898425).

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

121429947024 is an frugal number, since it uses more digits than its factorization.

121429947024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 121429947024 in words is "one hundred twenty-one billion, four hundred twenty-nine million, nine hundred forty-seven thousand, twenty-four".