111132302121000 has 768 divisors, whose sum is σ = 399322220544000. Its totient is φ = 27823286937600.

The previous prime is 111132302120893. The next prime is 111132302121013. The reversal of 111132302121000 is 121203231111.

111132302121000 is a `hidden beast` number, since 1 + 111 + 323 + 0 + 21 + 210 + 0 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 26720916921 + ... + 26720921079.

It is an arithmetic number, because the mean of its divisors is an integer number (519950808000).

Almost surely, 2^{111132302121000} is an apocalyptic number.

111132302121000 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 111132302121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199661110272000).

111132302121000 is an abundant number, since it is smaller than the sum of its proper divisors (288189918423000).

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

111132302121000 is a wasteful number, since it uses less digits than its factorization.

111132302121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111132302121000 its reverse (121203231111), we get a palindrome (111253505352111).

The spelling of 111132302121000 in words is "one hundred eleven trillion, one hundred thirty-two billion, three hundred two million, one hundred twenty-one thousand".