11211220112000 has 256 divisors, whose sum is σ = 29711721780000. Its totient is φ = 4192352665600.

The previous prime is 11211220111997. The next prime is 11211220112023. The reversal of 11211220112000 is 21102211211.

It can be written as a sum of positive squares in 16 ways, for example, as 1268398517824 + 9942821594176 = 1126232^2 + 3153224^2 .

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, 40389686 + ... + 40666314.

Almost surely, 2^{11211220112000} is an apocalyptic number.

11211220112000 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 11211220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14855860890000).

11211220112000 is an abundant number, since it is smaller than the sum of its proper divisors (18500501668000).

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

11211220112000 is a wasteful number, since it uses less digits than its factorization.

11211220112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276824 (or 276802 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11211220112000 its reverse (21102211211), we get a palindrome (11232322323211).

The spelling of 11211220112000 in words is "eleven trillion, two hundred eleven billion, two hundred twenty million, one hundred twelve thousand".