11111141032200 has 576 divisors, whose sum is σ = 41518851641280. Its totient is φ = 2640356352000.

The previous prime is 11111141032129. The next prime is 11111141032279. The reversal of 11111141032200 is 223014111111.

11111141032200 is a `hidden beast` number, since 1 + 1 + 11 + 11 + 410 + 32 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 235576620 + ... + 235623780.

It is an arithmetic number, because the mean of its divisors is an integer number (72081339655).

Almost surely, 2^{11111141032200} is an apocalyptic number.

11111141032200 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 11111141032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20759425820640).

11111141032200 is an abundant number, since it is smaller than the sum of its proper divisors (30407710609080).

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

11111141032200 is a wasteful number, since it uses less digits than its factorization.

11111141032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47430 (or 47418 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11111141032200 its reverse (223014111111), we get a palindrome (11334155143311).

The spelling of 11111141032200 in words is "eleven trillion, one hundred eleven billion, one hundred forty-one million, thirty-two thousand, two hundred".