1101993552312 has 256 divisors, whose sum is σ = 3216037478400. Its totient is φ = 312117442560.

The previous prime is 1101993552311. The next prime is 1101993552313. The reversal of 1101993552312 is 2132553991011.

It is an interprime number because it is at equal distance from previous prime (1101993552311) and next prime (1101993552313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101993552311) 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 63 ways as a sum of consecutive naturals, for example, 48306813 + ... + 48329619.

It is an arithmetic number, because the mean of its divisors is an integer number (12562646400).

Almost surely, 2^{1101993552312} is an apocalyptic number.

1101993552312 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 1101993552312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608018739200).

1101993552312 is an abundant number, since it is smaller than the sum of its proper divisors (2114043926088).

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

1101993552312 is a wasteful number, since it uses less digits than its factorization.

1101993552312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23146 (or 23142 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The spelling of 1101993552312 in words is "one trillion, one hundred one billion, nine hundred ninety-three million, five hundred fifty-two thousand, three hundred twelve".