121807282081 has 9 divisors (see below), whose sum is σ = 122244758073. Its totient is φ = 121371369840.

The previous prime is 121807282049. The next prime is 121807282123. The reversal of 121807282081 is 180282708121.

The square root of 121807282081 is 349009.

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 43496856481 + 78310425600 = 208559^2 + 279840^2 .

It is not a de Polignac number, because 121807282081 - 2⁵ = 121807282049 is a prime.

It is a super-2 number, since 2×121807282081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121807282031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 146932375 + ... + 146933203.

It is an arithmetic number, because the mean of its divisors is an integer number (13582750897).

Almost surely, 2^121807282081 is an apocalyptic number.

121807282081 is the 349009-th square number.

121807282081 is the 174505-th centered octagonal number.

It is an amenable number.

121807282081 is a deficient number, since it is larger than the sum of its proper divisors (437475992).

121807282081 is an frugal number, since it uses more digits than its factorization.

121807282081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The spelling of 121807282081 in words is "one hundred twenty-one billion, eight hundred seven million, two hundred eighty-two thousand, eighty-one".