111133542400000 has 360 divisors, whose sum is σ = 294151523456952. Its totient is φ = 41838182400000.

The previous prime is 111133542399991. The next prime is 111133542400003. The reversal of 111133542400000 is 4245331111.

It can be written as a sum of positive squares in 12 ways, for example, as 109613194215424 + 1520348184576 = 10469632^2 + 1233024^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111133542400003) 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, 870336160 + ... + 870463840.

Almost surely, 2^{111133542400000} is an apocalyptic number.

111133542400000 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 111133542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147075761728476).

111133542400000 is an abundant number, since it is smaller than the sum of its proper divisors (183017981056952).

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

111133542400000 is an frugal number, since it uses more digits than its factorization.

111133542400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127751 (or 127705 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 111133542400000 its reverse (4245331111), we get a palindrome (111137787731111).

The spelling of 111133542400000 in words is "one hundred eleven trillion, one hundred thirty-three billion, five hundred forty-two million, four hundred thousand".