11211120051251 has 16 divisors (see below), whose sum is σ = 11269785676800. Its totient is φ = 11152544076000.

The previous prime is 11211120051233. The next prime is 11211120051277. The reversal of 11211120051251 is 15215002111211.

It is a cyclic number.

It is not a de Polignac number, because 11211120051251 - 2³⁸ = 10936242144307 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11211120051851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2416708190 + ... + 2416712828.

It is an arithmetic number, because the mean of its divisors is an integer number (704361604800).

Almost surely, 2^{11211120051251} is an apocalyptic number.

11211120051251 is a deficient number, since it is larger than the sum of its proper divisors (58665625549).

11211120051251 is a wasteful number, since it uses less digits than its factorization.

11211120051251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11690.

The product of its (nonzero) digits is 200, while the sum is 23.

Adding to 11211120051251 its reverse (15215002111211), we get a palindrome (26426122162462).

The spelling of 11211120051251 in words is "eleven trillion, two hundred eleven billion, one hundred twenty million, fifty-one thousand, two hundred fifty-one".