1101234882132 has 960 divisors, whose sum is σ = 3899073024000. Its totient is φ = 268073245440.

The previous prime is 1101234882107. The next prime is 1101234882191. The reversal of 1101234882132 is 2312884321011.

1101234882132 is a `hidden beast` number, since 1 + 1 + 0 + 123 + 488 + 21 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1490168619 + ... + 1490169357.

It is an arithmetic number, because the mean of its divisors is an integer number (4061534400).

Almost surely, 2^{1101234882132} is an apocalyptic number.

1101234882132 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 1101234882132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949536512000).

1101234882132 is an abundant number, since it is smaller than the sum of its proper divisors (2797838141868).

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

1101234882132 is a wasteful number, since it uses less digits than its factorization.

1101234882132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1101234882132 in words is "one trillion, one hundred one billion, two hundred thirty-four million, eight hundred eighty-two thousand, one hundred thirty-two".