111121120011000 has 256 divisors, whose sum is σ = 391257815270400. Its totient is φ = 26009540928000.

The previous prime is 111121120010981. The next prime is 111121120011049. The reversal of 111121120011000 is 110021121111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57100012 + ... + 59014011.

It is an arithmetic number, because the mean of its divisors is an integer number (1528350840900).

Almost surely, 2^{111121120011000} is an apocalyptic number.

111121120011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111121120011000 is an abundant number, since it is smaller than the sum of its proper divisors (280136695259400).

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

111121120011000 is a wasteful number, since it uses less digits than its factorization.

111121120011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116114087 (or 116114073 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111121120011000 its reverse (110021121111), we get a palindrome (111231141132111).

The spelling of 111121120011000 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred twenty million, eleven thousand".