2031001223220 has 144 divisors (see below), whose sum is σ = 6266600318160. Its totient is φ = 532304640000.

The previous prime is 2031001223191. The next prime is 2031001223233. The reversal of 2031001223220 is 223221001302.

2031001223220 is a `hidden beast` number, since 20 + 310 + 0 + 12 + 2 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 408037333284 + 1622963889936 = 638778^2 + 1273956^2 .

It is a super-2 number, since 2×2031001223220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2031001223193 and 2031001223202.

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 47 ways as a sum of consecutive naturals, for example, 14081470 + ... + 14224970.

It is an arithmetic number, because the mean of its divisors is an integer number (43518057765).

Almost surely, 2^{2031001223220} is an apocalyptic number.

2031001223220 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 2031001223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133300159080).

2031001223220 is an abundant number, since it is smaller than the sum of its proper divisors (4235599094940).

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

2031001223220 is a wasteful number, since it uses less digits than its factorization.

2031001223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144866 (or 144861 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2031001223220 its reverse (223221001302), we get a palindrome (2254222224522).

The spelling of 2031001223220 in words is "two trillion, thirty-one billion, one million, two hundred twenty-three thousand, two hundred twenty".