122106896010 has 256 divisors, whose sum is σ = 360391680000. Its totient is φ = 29173996800.

The previous prime is 122106895997. The next prime is 122106896033. The reversal of 122106896010 is 10698601221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61082991 + ... + 61084989.

It is an arithmetic number, because the mean of its divisors is an integer number (1407780000).

Almost surely, 2^122106896010 is an apocalyptic number.

122106896010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122106896010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180195840000).

122106896010 is an abundant number, since it is smaller than the sum of its proper divisors (238284783990).

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

122106896010 is a wasteful number, since it uses less digits than its factorization.

122106896010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 122106896010 in words is "one hundred twenty-two billion, one hundred six million, eight hundred ninety-six thousand, ten".