211201001120 has 96 divisors (see below), whose sum is σ = 515245764096. Its totient is φ = 81725414400.

The previous prime is 211201001101. The next prime is 211201001131. The reversal of 211201001120 is 21100102112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17636735 + ... + 17648705.

It is an arithmetic number, because the mean of its divisors is an integer number (5367143376).

Almost surely, 2^211201001120 is an apocalyptic number.

211201001120 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 211201001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257622882048).

211201001120 is an abundant number, since it is smaller than the sum of its proper divisors (304044762976).

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

211201001120 is a wasteful number, since it uses less digits than its factorization.

211201001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15574 (or 15566 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211201001120 its reverse (21100102112), we get a palindrome (232301103232).

The spelling of 211201001120 in words is "two hundred eleven billion, two hundred one million, one thousand, one hundred twenty".