11312032211220 has 768 divisors, whose sum is σ = 37453582172160. Its totient is φ = 2526944200704.

The previous prime is 11312032211213. The next prime is 11312032211261. The reversal of 11312032211220 is 2211223021311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13107800509 + ... + 13107801371.

It is an arithmetic number, because the mean of its divisors is an integer number (48767685120).

Almost surely, 2^{11312032211220} is an apocalyptic number.

11312032211220 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 11312032211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18726791086080).

11312032211220 is an abundant number, since it is smaller than the sum of its proper divisors (26141549960940).

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

11312032211220 is a wasteful number, since it uses less digits than its factorization.

11312032211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11312032211220 its reverse (2211223021311), we get a palindrome (13523255232531).

The spelling of 11312032211220 in words is "eleven trillion, three hundred twelve billion, thirty-two million, two hundred eleven thousand, two hundred twenty".