111202144400 has 30 divisors (see below), whose sum is σ = 267163152882. Its totient is φ = 44480857600.

The previous prime is 111202144397. The next prime is 111202144409. The reversal of 111202144400 is 4441202111.

It can be written as a sum of positive squares in 3 ways, for example, as 475588864 + 110726555536 = 21808^2 + 332756^2 .

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

It is not an unprimeable number, because it can be changed into a prime (111202144409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139002281 + ... + 139003080.

Almost surely, 2^111202144400 is an apocalyptic number.

111202144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111202144400 is an abundant number, since it is smaller than the sum of its proper divisors (155961008482).

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

111202144400 is a wasteful number, since it uses less digits than its factorization.

111202144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278005379 (or 278005368 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 111202144400 its reverse (4441202111), we get a palindrome (115643346511).

The spelling of 111202144400 in words is "one hundred eleven billion, two hundred two million, one hundred forty-four thousand, four hundred".