11012212111120 has 160 divisors (see below), whose sum is σ = 28138418668800. Its totient is φ = 3974792478720.

The previous prime is 11012212111063. The next prime is 11012212111151. The reversal of 11012212111120 is 2111121221011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11012212111094 and 11012212111103.

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, 76185957 + ... + 76330363.

It is an arithmetic number, because the mean of its divisors is an integer number (175865116680).

Almost surely, 2^{11012212111120} is an apocalyptic number.

11012212111120 is a gapful number since it is divisible by the number (10) 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 11012212111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069209334400).

11012212111120 is an abundant number, since it is smaller than the sum of its proper divisors (17126206557680).

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

11012212111120 is a wasteful number, since it uses less digits than its factorization.

11012212111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145073 (or 145067 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11012212111120 its reverse (2111121221011), we get a palindrome (13123333332131).

The spelling of 11012212111120 in words is "eleven trillion, twelve billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".