122493966336 has 576 divisors, whose sum is σ = 430566645600. Its totient is φ = 34297675776.

The previous prime is 122493966311. The next prime is 122493966337. The reversal of 122493966336 is 633669394221.

122493966336 is a `hidden beast` number, since 1 + 2 + 2 + 493 + 96 + 63 + 3 + 6 = 666.

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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122493966337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143603286 + ... + 143604138.

Almost surely, 2^122493966336 is an apocalyptic number.

122493966336 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 122493966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215283322800).

122493966336 is an abundant number, since it is smaller than the sum of its proper divisors (308072679264).

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

122493966336 is an equidigital number, since it uses as much as digits as its factorization.

122493966336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 918 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The spelling of 122493966336 in words is "one hundred twenty-two billion, four hundred ninety-three million, nine hundred sixty-six thousand, three hundred thirty-six".