1102012340832 has 144 divisors (see below), whose sum is σ = 3375406577088. Its totient is φ = 339031111680.

The previous prime is 1102012340809. The next prime is 1102012340833. The reversal of 1102012340832 is 2380432102011.

1102012340832 is a `hidden beast` number, since 1 + 1 + 0 + 201 + 23 + 408 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1102012340796 and 1102012340805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102012340833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31885353 + ... + 31919895.

It is an arithmetic number, because the mean of its divisors is an integer number (23440323452).

Almost surely, 2^{1102012340832} is an apocalyptic number.

1102012340832 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 1102012340832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687703288544).

1102012340832 is an abundant number, since it is smaller than the sum of its proper divisors (2273394236256).

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

1102012340832 is a wasteful number, since it uses less digits than its factorization.

1102012340832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43093 (or 43082 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1102012340832 its reverse (2380432102011), we get a palindrome (3482444442843).

The spelling of 1102012340832 in words is "one trillion, one hundred two billion, twelve million, three hundred forty thousand, eight hundred thirty-two".