2111020113312 has 288 divisors, whose sum is σ = 6649948259136. Its totient is φ = 629868441600.

The previous prime is 2111020113311. The next prime is 2111020113401. The reversal of 2111020113312 is 2133110201112.

2111020113312 is a `hidden beast` number, since 21 + 110 + 201 + 1 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2111020113311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141757387 + ... + 141772277.

It is an arithmetic number, because the mean of its divisors is an integer number (23090098122).

Almost surely, 2^{2111020113312} is an apocalyptic number.

2111020113312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111020113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324974129568).

2111020113312 is an abundant number, since it is smaller than the sum of its proper divisors (4538928145824).

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

2111020113312 is a wasteful number, since it uses less digits than its factorization.

2111020113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15604 (or 15593 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2111020113312 its reverse (2133110201112), we get a palindrome (4244130314424).

The spelling of 2111020113312 in words is "two trillion, one hundred eleven billion, twenty million, one hundred thirteen thousand, three hundred twelve".