1201368000 has 224 divisors, whose sum is σ = 4534253568. Its totient is φ = 274560000.

The previous prime is 1201367983. The next prime is 1201368023. The reversal of 1201368000 is 8631021.

1201368000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 164425 + ... + 171575.

Almost surely, 2^1201368000 is an apocalyptic number.

1201368000 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 1201368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267126784).

1201368000 is an abundant number, since it is smaller than the sum of its proper divisors (3332885568).

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

1201368000 is an equidigital number, since it uses as much as digits as its factorization.

1201368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7188 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1201368000 is about 34660.7559063561. The cubic root of 1201368000 is about 1063.0622260881.

Adding to 1201368000 its reverse (8631021), we get a palindrome (1209999021).

The spelling of 1201368000 in words is "one billion, two hundred one million, three hundred sixty-eight thousand".