1114132221132 has 144 divisors (see below), whose sum is σ = 3071646789120. Its totient is φ = 313340227200.

The previous prime is 1114132221131. The next prime is 1114132221149. The reversal of 1114132221132 is 2311222314111.

It is a super-2 number, since 2×1114132221132² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1114132221131) 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 47 ways as a sum of consecutive naturals, for example, 15339382 + ... + 15411842.

It is an arithmetic number, because the mean of its divisors is an integer number (21330880480).

Almost surely, 2^{1114132221132} is an apocalyptic number.

1114132221132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114132221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535823394560).

1114132221132 is an abundant number, since it is smaller than the sum of its proper divisors (1957514567988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1114132221132 is a wasteful number, since it uses less digits than its factorization.

1114132221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72892 (or 72883 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 1114132221132 its reverse (2311222314111), we get a palindrome (3425354535243).

The spelling of 1114132221132 in words is "one trillion, one hundred fourteen billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred thirty-two".