1159905306121 has 9 divisors (see below), whose sum is σ = 1173181333333. Its totient is φ = 1146777887200.

The previous prime is 1159905306103. The next prime is 1159905306127. The reversal of 1159905306121 is 1216035099511.

The square root of 1159905306121 is 1076989.

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 206353056121 + 953552250000 = 454261^2 + 976500^2 .

It is not a de Polignac number, because 1159905306121 - 2⁵ = 1159905306089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1159905306127) 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, 95845971 + ... + 95858071.

Almost surely, 2^{1159905306121} is an apocalyptic number.

1159905306121 is the 1076989-th square number.

1159905306121 is the 538495-th centered octagonal number.

It is an amenable number.

1159905306121 is a deficient number, since it is larger than the sum of its proper divisors (13276027212).

1159905306121 is an frugal number, since it uses more digits than its factorization.

1159905306121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24380 (or 12190 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 43.

The spelling of 1159905306121 in words is "one trillion, one hundred fifty-nine billion, nine hundred five million, three hundred six thousand, one hundred twenty-one".