122360192640 has 384 divisors, whose sum is σ = 492005404800. Its totient is φ = 27439865856.

The previous prime is 122360192639. The next prime is 122360192651. The reversal of 122360192640 is 46291063221.

It is a happy number.

122360192640 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 6 + 0 + 1 + 9 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122360192595 and 122360192604.

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 47 ways as a sum of consecutive naturals, for example, 2108331 + ... + 2165589.

It is an arithmetic number, because the mean of its divisors is an integer number (1281264075).

Almost surely, 2^122360192640 is an apocalyptic number.

122360192640 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 122360192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246002702400).

122360192640 is an abundant number, since it is smaller than the sum of its proper divisors (369645212160).

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

122360192640 is a wasteful number, since it uses less digits than its factorization.

122360192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57344 (or 57329 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 122360192640 in words is "one hundred twenty-two billion, three hundred sixty million, one hundred ninety-two thousand, six hundred forty".