122211021312 has 480 divisors, whose sum is σ = 376086357504. Its totient is φ = 38154240000.

The previous prime is 122211021307. The next prime is 122211021329. The reversal of 122211021312 is 213120112221.

122211021312 is a `hidden beast` number, since 1 + 222 + 110 + 21 + 312 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809344437 + ... + 809344587.

Almost surely, 2^122211021312 is an apocalyptic number.

122211021312 is a gapful number since it is divisible by the number (12) 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 122211021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188043178752).

122211021312 is an abundant number, since it is smaller than the sum of its proper divisors (253875336192).

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

122211021312 is a wasteful number, since it uses less digits than its factorization.

122211021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

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

Adding to 122211021312 its reverse (213120112221), we get a palindrome (335331133533).

Subtracting 122211021312 from its reverse (213120112221), we obtain a palindrome (90909090909).

The spelling of 122211021312 in words is "one hundred twenty-two billion, two hundred eleven million, twenty-one thousand, three hundred twelve".