11211032020320 has 288 divisors, whose sum is σ = 43281379814400. Its totient is φ = 2717825840640.

The previous prime is 11211032020289. The next prime is 11211032020351. The reversal of 11211032020320 is 2302023011211.

11211032020320 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 0 + 320 + 20 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (11211032020289) and next prime (11211032020351).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 11211032020293 and 11211032020302.

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, 12679120 + ... + 13534479.

It is an arithmetic number, because the mean of its divisors is an integer number (150282568800).

Almost surely, 2^{11211032020320} is an apocalyptic number.

11211032020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211032020320 is an abundant number, since it is smaller than the sum of its proper divisors (32070347794080).

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

11211032020320 is a wasteful number, since it uses less digits than its factorization.

11211032020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26213640 (or 26213620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11211032020320 its reverse (2302023011211), we get a palindrome (13513055031531).

The spelling of 11211032020320 in words is "eleven trillion, two hundred eleven billion, thirty-two million, twenty thousand, three hundred twenty".