1213632000 has 720 divisors, whose sum is σ = 5203207152. Its totient is φ = 270950400.

The previous prime is 1213631983. The next prime is 1213632019. The reversal of 1213632000 is 2363121.

It is a tau number, because it is divible by the number of its divisors (720).

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, 28223979 + ... + 28224021.

Almost surely, 2^1213632000 is an apocalyptic number.

1213632000 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 1213632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601603576).

1213632000 is an abundant number, since it is smaller than the sum of its proper divisors (3989575152).

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

1213632000 is an equidigital number, since it uses as much as digits as its factorization.

1213632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 60 counting only the distinct ones).

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

The square root of 1213632000 is about 34837.2214735906. The cubic root of 1213632000 is about 1066.6673611107.

Adding to 1213632000 its reverse (2363121), we get a palindrome (1215995121).

The spelling of 1213632000 in words is "one billion, two hundred thirteen million, six hundred thirty-two thousand".