201210311120 has 240 divisors, whose sum is σ = 587347407360. Its totient is φ = 63539094528.

The previous prime is 201210311119. The next prime is 201210311153. The reversal of 201210311120 is 21113012102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201210311095 and 201210311104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24405719 + ... + 24413961.

It is an arithmetic number, because the mean of its divisors is an integer number (2447280864).

Almost surely, 2^201210311120 is an apocalyptic number.

201210311120 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 201210311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293673703680).

201210311120 is an abundant number, since it is smaller than the sum of its proper divisors (386137096240).

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

201210311120 is a wasteful number, since it uses less digits than its factorization.

201210311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 201210311120 its reverse (21113012102), we get a palindrome (222323323222).

The spelling of 201210311120 in words is "two hundred one billion, two hundred ten million, three hundred eleven thousand, one hundred twenty".