211231332201120 has 384 divisors, whose sum is σ = 830366262190080. Its totient is φ = 43849726894080.

The previous prime is 211231332201107. The next prime is 211231332201133. The reversal of 211231332201120 is 21102233132112.

It is an interprime number because it is at equal distance from previous prime (211231332201107) and next prime (211231332201133).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35413401 + ... + 40945959.

It is an arithmetic number, because the mean of its divisors is an integer number (2162412141120).

Almost surely, 2^{211231332201120} is an apocalyptic number.

211231332201120 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 211231332201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415183131095040).

211231332201120 is an abundant number, since it is smaller than the sum of its proper divisors (619134929988960).

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

211231332201120 is a wasteful number, since it uses less digits than its factorization.

211231332201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533628 (or 5533620 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 211231332201120 its reverse (21102233132112), we get a palindrome (232333565333232).

The spelling of 211231332201120 in words is "two hundred eleven trillion, two hundred thirty-one billion, three hundred thirty-two million, two hundred one thousand, one hundred twenty".