11111001121000 has 128 divisors (see below), whose sum is σ = 29278303441920. Its totient is φ = 3910029600000.

The previous prime is 11111001120997. The next prime is 11111001121027. The reversal of 11111001121000 is 12110011111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15950791 + ... + 16632790.

It is an arithmetic number, because the mean of its divisors is an integer number (228736745640).

Almost surely, 2^{11111001121000} is an apocalyptic number.

11111001121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111001121000 is an abundant number, since it is smaller than the sum of its proper divisors (18167302320920).

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

11111001121000 is a wasteful number, since it uses less digits than its factorization.

11111001121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32583644 (or 32583630 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11111001121000 its reverse (12110011111), we get a palindrome (11123111132111).

The spelling of 11111001121000 in words is "eleven trillion, one hundred eleven billion, one million, one hundred twenty-one thousand".