122017834080 has 384 divisors, whose sum is σ = 444312086400. Its totient is φ = 31236710400.

The previous prime is 122017834019. The next prime is 122017834153. The reversal of 122017834080 is 80438710221.

122017834080 is a `hidden beast` number, since 1 + 220 + 17 + 8 + 340 + 80 = 666.

It is a super-3 number, since 3×122017834080³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22672990 + ... + 22678370.

It is an arithmetic number, because the mean of its divisors is an integer number (1157062725).

Almost surely, 2^122017834080 is an apocalyptic number.

122017834080 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 122017834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222156043200).

122017834080 is an abundant number, since it is smaller than the sum of its proper divisors (322294252320).

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

122017834080 is a wasteful number, since it uses less digits than its factorization.

122017834080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 122017834080 in words is "one hundred twenty-two billion, seventeen million, eight hundred thirty-four thousand, eighty".