122213113302006 has 288 divisors, whose sum is σ = 282989433542400. Its totient is φ = 39567367062720.

The previous prime is 122213113301999. The next prime is 122213113302031. The reversal of 122213113302006 is 600203311312221.

122213113302006 is a `hidden beast` number, since 1 + 22 + 21 + 311 + 3 + 302 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40588877041 + ... + 40588880051.

It is an arithmetic number, because the mean of its divisors is an integer number (982602199800).

Almost surely, 2^{122213113302006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122213113302006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141494716771200).

122213113302006 is an abundant number, since it is smaller than the sum of its proper divisors (160776320240394).

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

122213113302006 is an equidigital number, since it uses as much as digits as its factorization.

122213113302006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122213113302006 its reverse (600203311312221), we get a palindrome (722416424614227).

The spelling of 122213113302006 in words is "one hundred twenty-two trillion, two hundred thirteen billion, one hundred thirteen million, three hundred two thousand, six".