122645448000 has 448 divisors, whose sum is σ = 455460445440. Its totient is φ = 32306688000.

The previous prime is 122645447993. The next prime is 122645448007. The reversal of 122645448000 is 844546221.

122645448000 is a `hidden beast` number, since 1 + 2 + 2 + 645 + 4 + 4 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122645447993) and next prime (122645448007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122645448007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17924580 + ... + 17931420.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652780).

Almost surely, 2^122645448000 is an apocalyptic number.

122645448000 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 122645448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227730222720).

122645448000 is an abundant number, since it is smaller than the sum of its proper divisors (332814997440).

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

122645448000 is an equidigital number, since it uses as much as digits as its factorization.

122645448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 6934 counting only the distinct ones).

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

The spelling of 122645448000 in words is "one hundred twenty-two billion, six hundred forty-five million, four hundred forty-eight thousand".