1201424400 has 300 divisors, whose sum is σ = 4705194384. Its totient is φ = 291168000.

The previous prime is 1201424363. The next prime is 1201424467. The reversal of 1201424400 is 44241021.

1201424400 is a `hidden beast` number, since 1 + 201 + 424 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 354715 + ... + 358085.

Almost surely, 2^1201424400 is an apocalyptic number.

1201424400 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 1201424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352597192).

1201424400 is an abundant number, since it is smaller than the sum of its proper divisors (3503769984).

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

1201424400 is a wasteful number, since it uses less digits than its factorization.

1201424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1201424400 is about 34661.5694970669. The cubic root of 1201424400 is about 1063.0788615047.

Adding to 1201424400 its reverse (44241021), we get a palindrome (1245665421).

The spelling of 1201424400 in words is "one billion, two hundred one million, four hundred twenty-four thousand, four hundred".