20320211322000 has 480 divisors, whose sum is σ = 72791922018816. Its totient is φ = 5280339456000.

The previous prime is 20320211321989. The next prime is 20320211322011. The reversal of 20320211322000 is 22311202302.

20320211322000 is a `hidden beast` number, since 2 + 0 + 320 + 21 + 1 + 322 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20320211321989) and next prime (20320211322011).

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, 333563544 + ... + 333624456.

Almost surely, 2^{20320211322000} is an apocalyptic number.

20320211322000 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 20320211322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36395961009408).

20320211322000 is an abundant number, since it is smaller than the sum of its proper divisors (52471710696816).

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

20320211322000 is a wasteful number, since it uses less digits than its factorization.

20320211322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61416 (or 61397 counting only the distinct ones).

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

Adding to 20320211322000 its reverse (22311202302), we get a palindrome (20342522524302).

The spelling of 20320211322000 in words is "twenty trillion, three hundred twenty billion, two hundred eleven million, three hundred twenty-two thousand".