11212002210120 has 256 divisors, whose sum is σ = 36959386233600. Its totient is φ = 2710770831360.

The previous prime is 11212002210037. The next prime is 11212002210131. The reversal of 11212002210120 is 2101220021211.

It is a super-3 number, since 3×11212002210120³ (a number of 40 digits) contains 333 as substring.

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 11212002210120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4056562 + ... + 6235358.

It is an arithmetic number, because the mean of its divisors is an integer number (144372602475).

Almost surely, 2^{11212002210120} is an apocalyptic number.

11212002210120 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 11212002210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18479693116800).

11212002210120 is an abundant number, since it is smaller than the sum of its proper divisors (25747384023480).

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

11212002210120 is a wasteful number, since it uses less digits than its factorization.

11212002210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178928 (or 2178924 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11212002210120 its reverse (2101220021211), we get a palindrome (13313222231331).

The spelling of 11212002210120 in words is "eleven trillion, two hundred twelve billion, two million, two hundred ten thousand, one hundred twenty".