122155018485984 has 288 divisors, whose sum is σ = 380176602624000. Its totient is φ = 36897731527680.

The previous prime is 122155018485971. The next prime is 122155018486057. The reversal of 122155018485984 is 489584810551221.

It is a happy number.

122155018485984 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 5 + 50 + 18 + 485 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×122155018485984² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3448448497 + ... + 3448483919.

It is an arithmetic number, because the mean of its divisors is an integer number (1320057648000).

Almost surely, 2^{122155018485984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122155018485984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190088301312000).

122155018485984 is an abundant number, since it is smaller than the sum of its proper divisors (258021584138016).

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

122155018485984 is a wasteful number, since it uses less digits than its factorization.

122155018485984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38918 (or 38907 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 63.

The spelling of 122155018485984 in words is "one hundred twenty-two trillion, one hundred fifty-five billion, eighteen million, four hundred eighty-five thousand, nine hundred eighty-four".