20113211322000 has 480 divisors, whose sum is σ = 72354919509600. Its totient is φ = 5203549900800.

The previous prime is 20113211321953. The next prime is 20113211322013. The reversal of 20113211322000 is 22311231102.

20113211322000 is a `hidden beast` number, since 2 + 0 + 11 + 321 + 132 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 13720890205584 + 6392321116416 = 3704172^2 + 2528304^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232390734 + ... + 232477266.

It is an arithmetic number, because the mean of its divisors is an integer number (150739415645).

Almost surely, 2^{20113211322000} is an apocalyptic number.

20113211322000 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 20113211322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36177459754800).

20113211322000 is an abundant number, since it is smaller than the sum of its proper divisors (52241708187600).

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

20113211322000 is a wasteful number, since it uses less digits than its factorization.

20113211322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86948 (or 86929 counting only the distinct ones).

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

Adding to 20113211322000 its reverse (22311231102), we get a palindrome (20135522553102).

The spelling of 20113211322000 in words is "twenty trillion, one hundred thirteen billion, two hundred eleven million, three hundred twenty-two thousand".