3211010222112 has 288 divisors, whose sum is σ = 11474142511104. Its totient is φ = 827460748800.

The previous prime is 3211010222107. The next prime is 3211010222153. The reversal of 3211010222112 is 2112220101123.

3211010222112 is a `hidden beast` number, since 321 + 1 + 0 + 10 + 222 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 2246287 + ... + 3386417.

It is an arithmetic number, because the mean of its divisors is an integer number (39840772608).

Almost surely, 2^{3211010222112} is an apocalyptic number.

3211010222112 is a gapful number since it is divisible by the number (32) 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 3211010222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737071255552).

3211010222112 is an abundant number, since it is smaller than the sum of its proper divisors (8263132288992).

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

3211010222112 is a wasteful number, since it uses less digits than its factorization.

3211010222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140292 (or 1140281 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 3211010222112 its reverse (2112220101123), we get a palindrome (5323230323235).

The spelling of 3211010222112 in words is "three trillion, two hundred eleven billion, ten million, two hundred twenty-two thousand, one hundred twelve".