11444120253200 has 60 divisors (see below), whose sum is σ = 27495253107840. Its totient is φ = 4577522532480.

The previous prime is 11444120253179. The next prime is 11444120253211. The reversal of 11444120253200 is 235202144411.

It is a happy number.

It is a super-2 number, since 2×11444120253200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14957561 + ... + 15704039.

It is an arithmetic number, because the mean of its divisors is an integer number (458254218464).

Almost surely, 2^{11444120253200} is an apocalyptic number.

11444120253200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11444120253200 is an abundant number, since it is smaller than the sum of its proper divisors (16051132854640).

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

11444120253200 is a wasteful number, since it uses less digits than its factorization.

11444120253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784824 (or 784813 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 11444120253200 its reverse (235202144411), we get a palindrome (11679322397611).

The spelling of 11444120253200 in words is "eleven trillion, four hundred forty-four billion, one hundred twenty million, two hundred fifty-three thousand, two hundred".