211930334085120 has 1080 divisors, whose sum is σ = 801314296008912. Its totient is φ = 47680334069760.

The previous prime is 211930334085103. The next prime is 211930334085131. The reversal of 211930334085120 is 21580433039112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 431630008075 + ... + 431630008565.

Almost surely, 2^{211930334085120} is an apocalyptic number.

211930334085120 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 211930334085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400657148004456).

211930334085120 is an abundant number, since it is smaller than the sum of its proper divisors (589383961923792).

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

211930334085120 is an frugal number, since it uses more digits than its factorization.

211930334085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 211930334085120 in words is "two hundred eleven trillion, nine hundred thirty billion, three hundred thirty-four million, eighty-five thousand, one hundred twenty".