1001122111120 has 40 divisors (see below), whose sum is σ = 2345376939840. Its totient is φ = 397391978880.

The previous prime is 1001122111081. The next prime is 1001122111127. The reversal of 1001122111120 is 211112211001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1001122111120.

It is not an unprimeable number, because it can be changed into a prime (1001122111127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47752980 + ... + 47773939.

It is an arithmetic number, because the mean of its divisors is an integer number (58634423496).

Almost surely, 2^{1001122111120} is an apocalyptic number.

1001122111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001122111120 is an abundant number, since it is smaller than the sum of its proper divisors (1344254828720).

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

1001122111120 is a wasteful number, since it uses less digits than its factorization.

1001122111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95527063 (or 95527057 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1001122111120 its reverse (211112211001), we get a palindrome (1212234322121).

The spelling of 1001122111120 in words is "one trillion, one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty".