111121001120000 has 180 divisors, whose sum is σ = 283931486462316. Its totient is φ = 43364290560000.

The previous prime is 111121001119967. The next prime is 111121001120137. The reversal of 111121001120000 is 21100121111.

It can be written as a sum of positive squares in 10 ways, for example, as 108775888666624 + 2345112453376 = 10429568^2 + 1531376^2 .

It is a super-2 number, since 2×111121001120000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1909589 + ... + 15029588.

Almost surely, 2^{111121001120000} is an apocalyptic number.

111121001120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111121001120000 is an abundant number, since it is smaller than the sum of its proper divisors (172810485342316).

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

111121001120000 is an frugal number, since it uses more digits than its factorization.

111121001120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16939254 (or 16939225 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111121001120000 its reverse (21100121111), we get a palindrome (111142101241111).

The spelling of 111121001120000 in words is "one hundred eleven trillion, one hundred twenty-one billion, one million, one hundred twenty thousand".