211601305212 has 192 divisors, whose sum is σ = 556028928000. Its totient is φ = 62091659520.

The previous prime is 211601305211. The next prime is 211601305213. The reversal of 211601305212 is 212503106112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211601305211) and next prime (211601305213).

It is a super-2 number, since 2×211601305212² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211601305211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135728089 + ... + 135729647.

It is an arithmetic number, because the mean of its divisors is an integer number (2895984000).

Almost surely, 2^211601305212 is an apocalyptic number.

211601305212 is a gapful number since it is divisible by the number (22) 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 211601305212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278014464000).

211601305212 is an abundant number, since it is smaller than the sum of its proper divisors (344427622788).

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

211601305212 is a wasteful number, since it uses less digits than its factorization.

211601305212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Subtracting 211601305212 from its reverse (212503106112), we obtain a square (901800900 = 30030²).

The spelling of 211601305212 in words is "two hundred eleven billion, six hundred one million, three hundred five thousand, two hundred twelve".