1102248000 has 560 divisors, whose sum is σ = 4679435904. Its totient is φ = 251942400.

The previous prime is 1102247983. The next prime is 1102248029. The reversal of 1102248000 is 8422011.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157463997 + ... + 157464003.

Almost surely, 2^1102248000 is an apocalyptic number.

1102248000 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 1102248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339717952).

1102248000 is an abundant number, since it is smaller than the sum of its proper divisors (3577187904).

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

1102248000 is an frugal number, since it uses more digits than its factorization.

1102248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1102248000 is about 33200.1204817091. The cubic root of 1102248000 is about 1032.9828386971.

The spelling of 1102248000 in words is "one billion, one hundred two million, two hundred forty-eight thousand".