201211003223120 has 160 divisors (see below), whose sum is σ = 521387851898880. Its totient is φ = 71585434872320.

The previous prime is 201211003223107. The next prime is 201211003223141. The reversal of 201211003223120 is 21322300112102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201211003223092 and 201211003223101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115730969 + ... + 117456711.

It is an arithmetic number, because the mean of its divisors is an integer number (3258674074368).

Almost surely, 2^{201211003223120} is an apocalyptic number.

201211003223120 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 201211003223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260693925949440).

201211003223120 is an abundant number, since it is smaller than the sum of its proper divisors (320176848675760).

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

201211003223120 is a wasteful number, since it uses less digits than its factorization.

201211003223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728633 (or 1728627 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 201211003223120 its reverse (21322300112102), we get a palindrome (222533303335222).

The spelling of 201211003223120 in words is "two hundred one trillion, two hundred eleven billion, three million, two hundred twenty-three thousand, one hundred twenty".