1002122212212 has 144 divisors (see below), whose sum is σ = 2826082022400. Its totient is φ = 296806006080.

The previous prime is 1002122212211. The next prime is 1002122212321. The reversal of 1002122212212 is 2122122212001.

It is a happy number.

1002122212212 is a `hidden beast` number, since 10 + 0 + 212 + 221 + 221 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002122212211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13717839 + ... + 13790697.

It is an arithmetic number, because the mean of its divisors is an integer number (19625569600).

Almost surely, 2^{1002122212212} is an apocalyptic number.

1002122212212 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 1002122212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413041011200).

1002122212212 is an abundant number, since it is smaller than the sum of its proper divisors (1823959810188).

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

1002122212212 is a wasteful number, since it uses less digits than its factorization.

1002122212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73666 (or 73661 counting only the distinct ones).

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

Adding to 1002122212212 its reverse (2122122212001), we get a palindrome (3124244424213).

The spelling of 1002122212212 in words is "one trillion, two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twelve".