122212100212002 has 80 divisors (see below), whose sum is σ = 283403442864960. Its totient is φ = 39316682718432.

The previous prime is 122212100211997. The next prime is 122212100212109. The reversal of 122212100212002 is 200212001212221.

It is a happy number.

122212100212002 is a `hidden beast` number, since 12 + 221 + 210 + 0 + 21 + 200 + 2 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6317643 + ... + 16862289.

It is an arithmetic number, because the mean of its divisors is an integer number (3542543035812).

Almost surely, 2^{122212100212002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122212100212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141701721432480).

122212100212002 is an abundant number, since it is smaller than the sum of its proper divisors (161191342652958).

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

122212100212002 is a wasteful number, since it uses less digits than its factorization.

122212100212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10547157 (or 10547148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122212100212002 its reverse (200212001212221), we get a palindrome (322424101424223).

The spelling of 122212100212002 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred million, two hundred twelve thousand, two".