11012212101120 has 416 divisors, whose sum is σ = 36093451468800. Its totient is φ = 2865175068672.

The previous prime is 11012212101103. The next prime is 11012212101139. The reversal of 11012212101120 is 2110121221011.

It is a happy number.

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 11012212101120.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3379014051 + ... + 3379017309.

Almost surely, 2^{11012212101120} is an apocalyptic number.

11012212101120 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 11012212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18046725734400).

11012212101120 is an abundant number, since it is smaller than the sum of its proper divisors (25081239367680).

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

11012212101120 is a wasteful number, since it uses less digits than its factorization.

11012212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11012212101120 its reverse (2110121221011), we get a palindrome (13122333322131).

The spelling of 11012212101120 in words is "eleven trillion, twelve billion, two hundred twelve million, one hundred one thousand, one hundred twenty".