2213231003120 has 80 divisors (see below), whose sum is σ = 5204226684960. Its totient is φ = 875236454400.

The previous prime is 2213231003101. The next prime is 2213231003129. The reversal of 2213231003120 is 213001323122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2213231003120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2213231003092 and 2213231003101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213231003129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81232700 + ... + 81259940.

It is an arithmetic number, because the mean of its divisors is an integer number (65052833562).

Almost surely, 2^{2213231003120} is an apocalyptic number.

2213231003120 is a gapful number since it is divisible by the number (20) 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 2213231003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602113342480).

2213231003120 is an abundant number, since it is smaller than the sum of its proper divisors (2990995681840).

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

2213231003120 is a wasteful number, since it uses less digits than its factorization.

2213231003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38754 (or 38748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2213231003120 its reverse (213001323122), we get a palindrome (2426232326242).

The spelling of 2213231003120 in words is "two trillion, two hundred thirteen billion, two hundred thirty-one million, three thousand, one hundred twenty".