122310540000000 has 2304 divisors, whose sum is σ = 503014337280000. Its totient is φ = 29064960000000.

The previous prime is 122310539999959. The next prime is 122310540000031. The reversal of 122310540000000 is 45013221.

122310540000000 is a `hidden beast` number, since 122 + 3 + 1 + 0 + 540 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 350459999826 + ... + 350460000174.

It is an arithmetic number, because the mean of its divisors is an integer number (218322195000).

Almost surely, 2^{122310540000000} is an apocalyptic number.

122310540000000 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 122310540000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251507168640000).

122310540000000 is an abundant number, since it is smaller than the sum of its proper divisors (380703797280000).

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

122310540000000 is an frugal number, since it uses more digits than its factorization.

122310540000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 122310540000000 its reverse (45013221), we get a palindrome (122310585013221).

The spelling of 122310540000000 in words is "one hundred twenty-two trillion, three hundred ten billion, five hundred forty million", and thus it is an aban number.