122001384176640 has 1408 divisors, whose sum is σ = 463924271923200. Its totient is φ = 30331147714560.

The previous prime is 122001384176611. The next prime is 122001384176641. The reversal of 122001384176640 is 46671483100221.

122001384176640 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 138 + 417 + 66 + 40 = 666.

It is a super-2 number, since 2×122001384176640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001384176641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125645091355 + ... + 125645092325.

It is an arithmetic number, because the mean of its divisors is an integer number (329491670400).

Almost surely, 2^{122001384176640} is an apocalyptic number.

122001384176640 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 122001384176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231962135961600).

122001384176640 is an abundant number, since it is smaller than the sum of its proper divisors (341922887746560).

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

122001384176640 is a wasteful number, since it uses less digits than its factorization.

122001384176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 122001384176640 in words is "one hundred twenty-two trillion, one billion, three hundred eighty-four million, one hundred seventy-six thousand, six hundred forty".