122173545113856 has 576 divisors, whose sum is σ = 375046016495360. Its totient is φ = 39701929918464.

The previous prime is 122173545113821. The next prime is 122173545113891. The reversal of 122173545113856 is 658311545371221.

122173545113856 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 7 + 3 + 5 + 451 + 138 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (122173545113821) and next prime (122173545113891).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3638591340 + ... + 3638624916.

Almost surely, 2^{122173545113856} is an apocalyptic number.

122173545113856 is a gapful number since it is divisible by the number (16) 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 122173545113856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187523008247680).

122173545113856 is an abundant number, since it is smaller than the sum of its proper divisors (252872471381504).

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

122173545113856 is an frugal number, since it uses more digits than its factorization.

122173545113856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33778 (or 33746 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 122173545113856 in words is "one hundred twenty-two trillion, one hundred seventy-three billion, five hundred forty-five million, one hundred thirteen thousand, eight hundred fifty-six".