122011221102012 has 72 divisors (see below), whose sum is σ = 341970844308912. Its totient is φ = 36366980947200.

The previous prime is 122011221101963. The next prime is 122011221102061. The reversal of 122011221102012 is 210201122110221.

122011221102012 is a `hidden beast` number, since 1 + 220 + 11 + 221 + 10 + 201 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (122011221101963) and next prime (122011221102061).

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 23 ways as a sum of consecutive naturals, for example, 2525460633 + ... + 2525508944.

It is an arithmetic number, because the mean of its divisors is an integer number (4749595059846).

Almost surely, 2^{122011221102012} is an apocalyptic number.

122011221102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122011221102012 is an abundant number, since it is smaller than the sum of its proper divisors (219959623206900).

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

122011221102012 is a wasteful number, since it uses less digits than its factorization.

122011221102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050969659 (or 5050969654 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122011221102012 its reverse (210201122110221), we get a palindrome (332212343212233).

The spelling of 122011221102012 in words is "one hundred twenty-two trillion, eleven billion, two hundred twenty-one million, one hundred two thousand, twelve".