1200314432000 has 160 divisors (see below), whose sum is σ = 3123195888384. Its totient is φ = 459250176000.

The previous prime is 1200314431957. The next prime is 1200314432011. The reversal of 1200314432000 is 2344130021.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1064285 + ... + 1879715.

Almost surely, 2^{1200314432000} is an apocalyptic number.

1200314432000 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 1200314432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561597944192).

1200314432000 is an abundant number, since it is smaller than the sum of its proper divisors (1922881456384).

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

1200314432000 is an frugal number, since it uses more digits than its factorization.

1200314432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815487 (or 815461 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1200314432000 its reverse (2344130021), we get a palindrome (1202658562021).

The spelling of 1200314432000 in words is "one trillion, two hundred billion, three hundred fourteen million, four hundred thirty-two thousand".