122967848304000 has 3584 divisors, whose sum is σ = 569449796198400. Its totient is φ = 25758590976000.

The previous prime is 122967848303941. The next prime is 122967848304001. The reversal of 122967848304000 is 403848769221.

122967848304000 is a `hidden beast` number, since 1 + 2 + 2 + 96 + 78 + 4 + 83 + 0 + 400 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122967848304001) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 48090670722 + ... + 48090673278.

Almost surely, 2^{122967848304000} is an apocalyptic number.

122967848304000 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 122967848304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284724898099200).

122967848304000 is an abundant number, since it is smaller than the sum of its proper divisors (446481947894400).

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

122967848304000 is an equidigital number, since it uses as much as digits as its factorization.

122967848304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 122967848304000 in words is "one hundred twenty-two trillion, nine hundred sixty-seven billion, eight hundred forty-eight million, three hundred four thousand".