201000320223120 has 640 divisors, whose sum is σ = 779784147763200. Its totient is φ = 47146637260800.

The previous prime is 201000320223113. The next prime is 201000320223137. The reversal of 201000320223120 is 21322023000102.

201000320223120 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 0 + 320 + 223 + 120 = 666.

It is a super-2 number, since 2×201000320223120² (a number of 29 digits) contains 22 as substring.

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 = 201000320223093 and 201000320223102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4440697609 + ... + 4440742871.

It is an arithmetic number, because the mean of its divisors is an integer number (1218412730880).

Almost surely, 2^{201000320223120} is an apocalyptic number.

201000320223120 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 201000320223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389892073881600).

201000320223120 is an abundant number, since it is smaller than the sum of its proper divisors (578783827540080).

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

201000320223120 is a wasteful number, since it uses less digits than its factorization.

201000320223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51356 (or 51344 counting only the distinct ones).

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

Adding to 201000320223120 its reverse (21322023000102), we get a palindrome (222322343223222).

The spelling of 201000320223120 in words is "two hundred one trillion, three hundred twenty million, two hundred twenty-three thousand, one hundred twenty".