121457826064 has 45 divisors (see below), whose sum is σ = 237304571301. Its totient is φ = 60222182400.

The previous prime is 121457826037. The next prime is 121457826067. The reversal of 121457826064 is 460628754121.

The square root of 121457826064 is 348508.

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., 120617290000 + 840536064 = 347300^2 + 28992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121457826067) 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 8 ways as a sum of consecutive naturals, for example, 210498544 + ... + 210499120.

Almost surely, 2^121457826064 is an apocalyptic number.

121457826064 is the 348508-th square number.

It is an amenable number.

121457826064 is a deficient number, since it is larger than the sum of its proper divisors (115846745237).

121457826064 is an frugal number, since it uses more digits than its factorization.

121457826064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 121457826064 in words is "one hundred twenty-one billion, four hundred fifty-seven million, eight hundred twenty-six thousand, sixty-four".