122177387888640 has 3024 divisors, whose sum is σ = 543260031974352. Its totient is φ = 26197924773888.

The previous prime is 122177387888581. The next prime is 122177387888671. The reversal of 122177387888640 is 46888783771221.

122177387888640 is a `hidden beast` number, since 1 + 2 + 21 + 77 + 387 + 88 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×122177387888640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 397971947367 + ... + 397971947673.

It is an arithmetic number, because the mean of its divisors is an integer number (179649481473).

Almost surely, 2^{122177387888640} is an apocalyptic number.

122177387888640 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 122177387888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271630015987176).

122177387888640 is an abundant number, since it is smaller than the sum of its proper divisors (421082644085712).

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

122177387888640 is an frugal number, since it uses more digits than its factorization.

122177387888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 72.

The spelling of 122177387888640 in words is "one hundred twenty-two trillion, one hundred seventy-seven billion, three hundred eighty-seven million, eight hundred eighty-eight thousand, six hundred forty".