111205146132 has 48 divisors (see below), whose sum is σ = 303483835200. Its totient is φ = 35117413920.

The previous prime is 111205146109. The next prime is 111205146161. The reversal of 111205146132 is 231641502111.

111205146132 is a `hidden beast` number, since 1 + 1 + 12 + 0 + 514 + 6 + 132 = 666.

It is a super-2 number, since 2×111205146132² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 111205146096 and 111205146105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27094719 + ... + 27098822.

It is an arithmetic number, because the mean of its divisors is an integer number (6322579900).

Almost surely, 2^111205146132 is an apocalyptic number.

111205146132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111205146132 is an abundant number, since it is smaller than the sum of its proper divisors (192278689068).

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

111205146132 is a wasteful number, since it uses less digits than its factorization.

111205146132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54193573 (or 54193565 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 111205146132 its reverse (231641502111), we get a palindrome (342846648243).

The spelling of 111205146132 in words is "one hundred eleven billion, two hundred five million, one hundred forty-six thousand, one hundred thirty-two".