122012180398080 has 2880 divisors, whose sum is σ = 529313609260800. Its totient is φ = 25895632896000.

The previous prime is 122012180398013. The next prime is 122012180398169. The reversal of 122012180398080 is 80893081210221.

122012180398080 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 1 + 2 + 180 + 398 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 434207047540 + ... + 434207047820.

It is an arithmetic number, because the mean of its divisors is an integer number (183789447660).

Almost surely, 2^{122012180398080} is an apocalyptic number.

122012180398080 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 122012180398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264656804630400).

122012180398080 is an abundant number, since it is smaller than the sum of its proper divisors (407301428862720).

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

122012180398080 is a wasteful number, since it uses less digits than its factorization.

122012180398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 122012180398080 in words is "one hundred twenty-two trillion, twelve billion, one hundred eighty million, three hundred ninety-eight thousand, eighty".