2211011301312 has 336 divisors, whose sum is σ = 7455238775040. Its totient is φ = 640871447040.

The previous prime is 2211011301241. The next prime is 2211011301341. The reversal of 2211011301312 is 2131031101122.

2211011301312 is a `hidden beast` number, since 221 + 1 + 0 + 1 + 130 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4579143 + ... + 5038905.

It is an arithmetic number, because the mean of its divisors is an integer number (22188210640).

Almost surely, 2^{2211011301312} is an apocalyptic number.

2211011301312 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 2211011301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727619387520).

2211011301312 is an abundant number, since it is smaller than the sum of its proper divisors (5244227473728).

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

2211011301312 is a wasteful number, since it uses less digits than its factorization.

2211011301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459829 (or 459802 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2211011301312 its reverse (2131031101122), we get a palindrome (4342042402434).

The spelling of 2211011301312 in words is "two trillion, two hundred eleven billion, eleven million, three hundred one thousand, three hundred twelve".