1102112000 has 288 divisors, whose sum is σ = 3122316288. Its totient is φ = 384000000.

The previous prime is 1102111993. The next prime is 1102112017. The reversal of 1102112000 is 2112011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10911950 + ... + 10912050.

It is an arithmetic number, because the mean of its divisors is an integer number (10841376).

Almost surely, 2^1102112000 is an apocalyptic number.

1102112000 is a gapful number since it is divisible by the number (10) 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 1102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561158144).

1102112000 is an abundant number, since it is smaller than the sum of its proper divisors (2020204288).

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

1102112000 is a wasteful number, since it uses less digits than its factorization.

1102112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1102112000 is about 33198.0722331885. The cubic root of 1102112000 is about 1032.9403523588.

Adding to 1102112000 its reverse (2112011), we get a palindrome (1104224011).

It can be divided in two parts, 110211 and 2000, that added together give a palindrome (112211).

The spelling of 1102112000 in words is "one billion, one hundred two million, one hundred twelve thousand".