1123632000 has 576 divisors, whose sum is σ = 4445335440. Its totient is φ = 282009600.

The previous prime is 1123631953. The next prime is 1123632053. The reversal of 1123632000 is 2363211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1123632000 is a `hidden beast` number, since 11 + 23 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66095992 + ... + 66096008.

It is a vampire number, since it can be written as 31212 ⋅ 36000 (with its own digits).

Almost surely, 2^1123632000 is an apocalyptic number.

1123632000 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 1123632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222667720).

1123632000 is an abundant number, since it is smaller than the sum of its proper divisors (3321703440).

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

1123632000 is an frugal number, since it uses more digits than its factorization.

1123632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1123632000 is about 33520.6205193162. The cubic root of 1123632000 is about 1039.6201768818.

Adding to 1123632000 its reverse (2363211), we get a palindrome (1125995211).

The spelling of 1123632000 in words is "one billion, one hundred twenty-three million, six hundred thirty-two thousand".