211111020003120 has 80 divisors (see below), whose sum is σ = 654677643996672. Its totient is φ = 56276187528960.

The previous prime is 211111020003113. The next prime is 211111020003127. The reversal of 211111020003120 is 21300020111112.

It is an interprime number because it is at equal distance from previous prime (211111020003113) and next prime (211111020003127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211111020003120.

It is not an unprimeable number, because it can be changed into a prime (211111020003127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156235816 + ... + 157581255.

Almost surely, 2^{211111020003120} is an apocalyptic number.

211111020003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211111020003120 is an abundant number, since it is smaller than the sum of its proper divisors (443566623993552).

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

211111020003120 is a wasteful number, since it uses less digits than its factorization.

211111020003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313819890 (or 313819884 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211111020003120 its reverse (21300020111112), we get a palindrome (232411040114232).

The spelling of 211111020003120 in words is "two hundred eleven trillion, one hundred eleven billion, twenty million, three thousand, one hundred twenty".