114400212311 has 32 divisors (see below), whose sum is σ = 143940741120. Its totient is φ = 88326856800.

The previous prime is 114400212307. The next prime is 114400212391. The reversal of 114400212311 is 113212004411.

It is not a de Polignac number, because 114400212311 - 2² = 114400212307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114400212391) 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 31 ways as a sum of consecutive naturals, for example, 3672560 + ... + 3703578.

It is an arithmetic number, because the mean of its divisors is an integer number (4498148160).

Almost surely, 2^114400212311 is an apocalyptic number.

114400212311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114400212311 is a deficient number, since it is larger than the sum of its proper divisors (29540528809).

114400212311 is a wasteful number, since it uses less digits than its factorization.

114400212311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31475.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 114400212311 its reverse (113212004411), we get a palindrome (227612216722).

The spelling of 114400212311 in words is "one hundred fourteen billion, four hundred million, two hundred twelve thousand, three hundred eleven".