201112001001120 has 768 divisors, whose sum is σ = 706880260509696. Its totient is φ = 47654191104000.

The previous prime is 201112001001113. The next prime is 201112001001173. The reversal of 201112001001120 is 21100100211102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201112001001096 and 201112001001105.

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, 93933675250 + ... + 93933677390.

It is an arithmetic number, because the mean of its divisors is an integer number (920417005872).

Almost surely, 2^{201112001001120} is an apocalyptic number.

201112001001120 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 201112001001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353440130254848).

201112001001120 is an abundant number, since it is smaller than the sum of its proper divisors (505768259508576).

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

201112001001120 is a wasteful number, since it uses less digits than its factorization.

201112001001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201112001001120 its reverse (21100100211102), we get a palindrome (222212101212222).

The spelling of 201112001001120 in words is "two hundred one trillion, one hundred twelve billion, one million, one thousand, one hundred twenty".