11211220202112 has 640 divisors, whose sum is σ = 38961719280000. Its totient is φ = 3198862098432.

The previous prime is 11211220202107. The next prime is 11211220202113. The reversal of 11211220202112 is 21120202211211.

11211220202112 is a `hidden beast` number, since 1 + 1 + 211 + 220 + 20 + 211 + 2 = 666.

It is a super-3 number, since 3×11211220202112³ (a number of 40 digits) contains 333 as substring.

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 (11211220202113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3367742464 + ... + 3367745792.

It is an arithmetic number, because the mean of its divisors is an integer number (60877686375).

Almost surely, 2^{11211220202112} is an apocalyptic number.

11211220202112 is a gapful number since it is divisible by the number (12) 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 11211220202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19480859640000).

11211220202112 is an abundant number, since it is smaller than the sum of its proper divisors (27750499077888).

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

11211220202112 is an frugal number, since it uses more digits than its factorization.

11211220202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11211220202112 its reverse (21120202211211), we get a palindrome (32331422413323).

The spelling of 11211220202112 in words is "eleven trillion, two hundred eleven billion, two hundred twenty million, two hundred two thousand, one hundred twelve".