11002000012020 has 72 divisors (see below), whose sum is σ = 33378994060776. Its totient is φ = 2933316279552.

The previous prime is 11002000012013. The next prime is 11002000012027. The reversal of 11002000012020 is 2021000020011.

It is an interprime number because it is at equal distance from previous prime (11002000012013) and next prime (11002000012027).

It can be written as a sum of positive squares in 4 ways, for example, as 4954915729296 + 6047084282724 = 2225964^2 + 2459082^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11002000011993 and 11002000012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002000012027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4770627 + ... + 6690506.

It is an arithmetic number, because the mean of its divisors is an integer number (463597139733).

Almost surely, 2^{11002000012020} is an apocalyptic number.

11002000012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002000012020 is an abundant number, since it is smaller than the sum of its proper divisors (22376994048756).

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

11002000012020 is a wasteful number, since it uses less digits than its factorization.

11002000012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11466481 (or 11466476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11002000012020 its reverse (2021000020011), we get a palindrome (13023000032031).

The spelling of 11002000012020 in words is "eleven trillion, two billion, twelve thousand, twenty".