1014312224020 has 24 divisors (see below), whose sum is σ = 2130689568168. Its totient is φ = 405604147200.

The previous prime is 1014312223979. The next prime is 1014312224021. The reversal of 1014312224020 is 204222134101.

It can be written as a sum of positive squares in 4 ways, for example, as 214496807044 + 799815416976 = 463138^2 + 894324^2 .

It is a super-3 number, since 3×1014312224020³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1014312223982 and 1014312224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014312224021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7477501 + ... + 7611940.

It is an arithmetic number, because the mean of its divisors is an integer number (88778732007).

Almost surely, 2^{1014312224020} is an apocalyptic number.

1014312224020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014312224020 is an abundant number, since it is smaller than the sum of its proper divisors (1116377344148).

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

1014312224020 is a wasteful number, since it uses less digits than its factorization.

1014312224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15092811 (or 15092809 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1014312224020 its reverse (204222134101), we get a palindrome (1218534358121).

The spelling of 1014312224020 in words is "one trillion, fourteen billion, three hundred twelve million, two hundred twenty-four thousand, twenty".