122307881314080 has 1152 divisors, whose sum is σ = 492955498764288. Its totient is φ = 24946403328000.

The previous prime is 122307881314049. The next prime is 122307881314139. The reversal of 122307881314080 is 80413188703221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6262233915 + ... + 6262253445.

It is an arithmetic number, because the mean of its divisors is an integer number (427912759344).

Almost surely, 2^{122307881314080} is an apocalyptic number.

122307881314080 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 122307881314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246477749382144).

122307881314080 is an abundant number, since it is smaller than the sum of its proper divisors (370647617450208).

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

122307881314080 is a wasteful number, since it uses less digits than its factorization.

122307881314080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19862 (or 19843 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 122307881314080 in words is "one hundred twenty-two trillion, three hundred seven billion, eight hundred eighty-one million, three hundred fourteen thousand, eighty".