122340218544000 has 768 divisors, whose sum is σ = 443583371649600. Its totient is φ = 32311432396800.

The previous prime is 122340218543969. The next prime is 122340218544013. The reversal of 122340218544000 is 445812043221.

122340218544000 is a `hidden beast` number, since 1 + 2 + 2 + 34 + 0 + 2 + 185 + 440 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6877287106 + ... + 6877304894.

Almost surely, 2^{122340218544000} is an apocalyptic number.

122340218544000 is a gapful number since it is divisible by the number (10) 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 122340218544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221791685824800).

122340218544000 is an abundant number, since it is smaller than the sum of its proper divisors (321243153105600).

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

122340218544000 is a wasteful number, since it uses less digits than its factorization.

122340218544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18280 (or 18255 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 122340218544000 in words is "one hundred twenty-two trillion, three hundred forty billion, two hundred eighteen million, five hundred forty-four thousand".