122140912806 has 192 divisors, whose sum is σ = 306478598400. Its totient is φ = 34811078400.

The previous prime is 122140912799. The next prime is 122140912819. The reversal of 122140912806 is 608219041221.

122140912806 is a `hidden beast` number, since 1 + 221 + 409 + 1 + 28 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37476405 + ... + 37479663.

It is an arithmetic number, because the mean of its divisors is an integer number (1596242700).

Almost surely, 2^122140912806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122140912806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153239299200).

122140912806 is an abundant number, since it is smaller than the sum of its proper divisors (184337685594).

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

122140912806 is a wasteful number, since it uses less digits than its factorization.

122140912806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 122140912806 in words is "one hundred twenty-two billion, one hundred forty million, nine hundred twelve thousand, eight hundred six".