11451111152200 has 96 divisors (see below), whose sum is σ = 28286272765800. Its totient is φ = 4302971043840.

The previous prime is 11451111152191. The next prime is 11451111152209. The reversal of 11451111152200 is 225111115411.

It is an interprime number because it is at equal distance from previous prime (11451111152191) and next prime (11451111152209).

It can be written as a sum of positive squares in 12 ways, for example, as 5981340879684 + 5469770272516 = 2445678^2 + 2338754^2 .

It is a super-2 number, since 2×11451111152200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11451111152209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26465529 + ... + 26894728.

Almost surely, 2^{11451111152200} is an apocalyptic number.

11451111152200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11451111152200 is an abundant number, since it is smaller than the sum of its proper divisors (16835161613600).

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

11451111152200 is a wasteful number, since it uses less digits than its factorization.

11451111152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53360339 (or 53360330 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 25.

Adding to 11451111152200 its reverse (225111115411), we get a palindrome (11676222267611).

The spelling of 11451111152200 in words is "eleven trillion, four hundred fifty-one billion, one hundred eleven million, one hundred fifty-two thousand, two hundred".