211335136655412 has 192 divisors, whose sum is σ = 617217323563008. Its totient is φ = 54675946752000.

The previous prime is 211335136655333. The next prime is 211335136655417. The reversal of 211335136655412 is 214556631533112.

211335136655412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211335136655417) 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, 683488087 + ... + 683797217.

It is an arithmetic number, because the mean of its divisors is an integer number (3214673560224).

Almost surely, 2^{211335136655412} is an apocalyptic number.

211335136655412 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 211335136655412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308608661781504).

211335136655412 is an abundant number, since it is smaller than the sum of its proper divisors (405882186907596).

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

211335136655412 is a wasteful number, since it uses less digits than its factorization.

211335136655412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312070 (or 312068 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 48.

The spelling of 211335136655412 in words is "two hundred eleven trillion, three hundred thirty-five billion, one hundred thirty-six million, six hundred fifty-five thousand, four hundred twelve".