121777967089 has 9 divisors (see below), whose sum is σ = 125844187851. Its totient is φ = 117839176560.

The previous prime is 121777967081. The next prime is 121777967099. The reversal of 121777967089 is 980769777121.

It is a happy number.

The square root of 121777967089 is 348967.

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., 103442640625 + 18335326464 = 321625^2 + 135408^2 .

It is not a de Polignac number, because 121777967089 - 2³ = 121777967081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121777967089.

It is not an unprimeable number, because it can be changed into a prime (121777967081) 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 8 ways as a sum of consecutive naturals, for example, 10812349 + ... + 10823605.

It is an arithmetic number, because the mean of its divisors is an integer number (13982687539).

Almost surely, 2^121777967089 is an apocalyptic number.

121777967089 is the 348967-th square number.

121777967089 is the 174484-th centered octagonal number.

It is an amenable number.

121777967089 is a deficient number, since it is larger than the sum of its proper divisors (4066220762).

121777967089 is an frugal number, since it uses more digits than its factorization.

121777967089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22576 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 64.

Multiplying 121777967089 by its sum of digits (64), we get a square (7793789893696 = 2791736²).

The spelling of 121777967089 in words is "one hundred twenty-one billion, seven hundred seventy-seven million, nine hundred sixty-seven thousand, eighty-nine".