11205432011228 has 96 divisors (see below), whose sum is σ = 25565559763968. Its totient is φ = 4170347596800.

The previous prime is 11205432011227. The next prime is 11205432011237. The reversal of 11205432011228 is 82211023450211.

It is a super-2 number, since 2×11205432011228² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11205432011194 and 11205432011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205432011227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13908683 + ... + 14692253.

It is an arithmetic number, because the mean of its divisors is an integer number (266307914208).

Almost surely, 2^{11205432011228} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11205432011228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12782779881984).

11205432011228 is an abundant number, since it is smaller than the sum of its proper divisors (14360127752740).

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

11205432011228 is a wasteful number, since it uses less digits than its factorization.

11205432011228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785923 (or 785921 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 11205432011228 its reverse (82211023450211), we get a palindrome (93416455461439).

The spelling of 11205432011228 in words is "eleven trillion, two hundred five billion, four hundred thirty-two million, eleven thousand, two hundred twenty-eight".