1201044144300 has 576 divisors, whose sum is σ = 4911352320000. Its totient is φ = 218244326400.

The previous prime is 1201044144277. The next prime is 1201044144431. The reversal of 1201044144300 is 34414401021.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5600451 + ... + 5810949.

Almost surely, 2^{1201044144300} is an apocalyptic number.

1201044144300 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 1201044144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455676160000).

1201044144300 is an abundant number, since it is smaller than the sum of its proper divisors (3710308175700).

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

1201044144300 is a wasteful number, since it uses less digits than its factorization.

1201044144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210566 (or 210559 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1201044144300 its reverse (34414401021), we get a palindrome (1235458545321).

The spelling of 1201044144300 in words is "one trillion, two hundred one billion, forty-four million, one hundred forty-four thousand, three hundred".