122138622144 has 1120 divisors, whose sum is σ = 490721172480. Its totient is φ = 29063577600.

The previous prime is 122138622131. The next prime is 122138622167. The reversal of 122138622144 is 441226831221.

122138622144 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 8 + 622 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122138622099 and 122138622108.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 278219877 + ... + 278220315.

It is an arithmetic number, because the mean of its divisors is an integer number (438143904).

Almost surely, 2^122138622144 is an apocalyptic number.

122138622144 is a gapful number since it is divisible by the number (14) 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 122138622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245360586240).

122138622144 is an abundant number, since it is smaller than the sum of its proper divisors (368582550336).

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

122138622144 is a wasteful number, since it uses less digits than its factorization.

122138622144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 122138622144 in words is "one hundred twenty-two billion, one hundred thirty-eight million, six hundred twenty-two thousand, one hundred forty-four".