121500347761 has 9 divisors (see below), whose sum is σ = 131570372289. Its totient is φ = 112149984336.

The previous prime is 121500347711. The next prime is 121500347849. The reversal of 121500347761 is 167743005121.

The square root of 121500347761 is 348569.

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 2254445361 + 119245902400 = 47481^2 + 345320^2 .

It is a de Polignac number, because none of the positive numbers 2^k-121500347761 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 121500347761.

It is not an unprimeable number, because it can be changed into a prime (121500347711) 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, 4517991 + ... + 4544803.

Almost surely, 2^121500347761 is an apocalyptic number.

121500347761 is the 348569-th square number.

121500347761 is the 174285-th centered octagonal number.

It is an amenable number.

121500347761 is a deficient number, since it is larger than the sum of its proper divisors (10070024528).

121500347761 is an frugal number, since it uses more digits than its factorization.

121500347761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53652 (or 26826 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 121500347761 in words is "one hundred twenty-one billion, five hundred million, three hundred forty-seven thousand, seven hundred sixty-one".