122106375870336 has 2880 divisors, whose sum is σ = 460803581821440. Its totient is φ = 31914047692800.

The previous prime is 122106375870329. The next prime is 122106375870359. The reversal of 122106375870336 is 633078573601221.

122106375870336 is a `hidden beast` number, since 1 + 2 + 21 + 0 + 6 + 3 + 7 + 587 + 0 + 3 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3938915350641 + ... + 3938915350671.

It is an arithmetic number, because the mean of its divisors is an integer number (160001243688).

Almost surely, 2^{122106375870336} is an apocalyptic number.

122106375870336 is a gapful number since it is divisible by the number (16) 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 122106375870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230401790910720).

122106375870336 is an abundant number, since it is smaller than the sum of its proper divisors (338697205951104).

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

122106375870336 is an frugal number, since it uses more digits than its factorization.

122106375870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 122106375870336 in words is "one hundred twenty-two trillion, one hundred six billion, three hundred seventy-five million, eight hundred seventy thousand, three hundred thirty-six".