11312003220 has 96 divisors (see below), whose sum is σ = 36255571968. Its totient is φ = 2581517952.

The previous prime is 11312003207. The next prime is 11312003231. The reversal of 11312003220 is 2230021311.

11312003220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11312003220² (a number of 21 digits) contains 22 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 11312003220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249117 + ... + 291003.

It is an arithmetic number, because the mean of its divisors is an integer number (377662208).

Almost surely, 2^11312003220 is an apocalyptic number.

11312003220 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 11312003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127785984).

11312003220 is an abundant number, since it is smaller than the sum of its proper divisors (24943568748).

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

11312003220 is a wasteful number, since it uses less digits than its factorization.

11312003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42549 (or 42547 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11312003220 its reverse (2230021311), we get a palindrome (13542024531).

The spelling of 11312003220 in words is "eleven billion, three hundred twelve million, three thousand, two hundred twenty".