1101322012032 has 192 divisors, whose sum is σ = 3498932324160. Its totient is φ = 329712737280.

The previous prime is 1101322012031. The next prime is 1101322012051. The reversal of 1101322012032 is 2302102231011.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1101322011996 and 1101322012014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101322012031) 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, 528223 + ... + 1575329.

It is an arithmetic number, because the mean of its divisors is an integer number (18223605855).

Almost surely, 2^{1101322012032} is an apocalyptic number.

1101322012032 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 1101322012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749466162080).

1101322012032 is an abundant number, since it is smaller than the sum of its proper divisors (2397610312128).

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

1101322012032 is a wasteful number, since it uses less digits than its factorization.

1101322012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047221 (or 1047206 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1101322012032 its reverse (2302102231011), we get a palindrome (3403424243043).

The spelling of 1101322012032 in words is "one trillion, one hundred one billion, three hundred twenty-two million, twelve thousand, thirty-two".