111204345252000 has 1536 divisors, whose sum is σ = 500514979700736. Its totient is φ = 20833763328000.

The previous prime is 111204345251959. The next prime is 111204345252017. The reversal of 111204345252000 is 252543402111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 516408352 + ... + 516623648.

It is an arithmetic number, because the mean of its divisors is an integer number (325856106576).

Almost surely, 2^{111204345252000} is an apocalyptic number.

111204345252000 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 111204345252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250257489850368).

111204345252000 is an abundant number, since it is smaller than the sum of its proper divisors (389310634448736).

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

111204345252000 is a wasteful number, since it uses less digits than its factorization.

111204345252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215399 (or 215381 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 111204345252000 its reverse (252543402111), we get a palindrome (111456888654111).

The spelling of 111204345252000 in words is "one hundred eleven trillion, two hundred four billion, three hundred forty-five million, two hundred fifty-two thousand".