11751351027121 has 16 divisors (see below), whose sum is σ = 12301824378240. Its totient is φ = 11204230998400.

The previous prime is 11751351027077. The next prime is 11751351027253. The reversal of 11751351027121 is 12172015315711.

It is a cyclic number.

It is not a de Polignac number, because 11751351027121 - 2¹⁹ = 11751350502833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11751351027421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8281071 + ... + 9595771.

It is an arithmetic number, because the mean of its divisors is an integer number (768864023640).

Almost surely, 2^{11751351027121} is an apocalyptic number.

It is an amenable number.

11751351027121 is a deficient number, since it is larger than the sum of its proper divisors (550473351119).

11751351027121 is a wasteful number, since it uses less digits than its factorization.

11751351027121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315976.

The product of its (nonzero) digits is 14700, while the sum is 37.

It can be divided in two parts, 1175135 and 1027121, that added together give a square (2202256 = 1484²).

The spelling of 11751351027121 in words is "eleven trillion, seven hundred fifty-one billion, three hundred fifty-one million, twenty-seven thousand, one hundred twenty-one".