122085193248 has 90 divisors (see below), whose sum is σ = 359101486359. Its totient is φ = 40689134784.

The previous prime is 122085193213. The next prime is 122085193259. The reversal of 122085193248 is 842391580221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122085193248 is a `hidden beast` number, since 12 + 208 + 5 + 193 + 248 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61042596624 + 61042596624 = 247068^2 + 247068^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247068.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17785465 + ... + 17792327.

Almost surely, 2^122085193248 is an apocalyptic number.

122085193248 is a gapful number since it is divisible by the number (18) 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 122085193248

122085193248 is an abundant number, since it is smaller than the sum of its proper divisors (237016293111).

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

122085193248 is an frugal number, since it uses more digits than its factorization.

122085193248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13748 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 122085193248 in words is "one hundred twenty-two billion, eighty-five million, one hundred ninety-three thousand, two hundred forty-eight".