122014001340 has 432 divisors, whose sum is σ = 490104276480. Its totient is φ = 24250786560.

The previous prime is 122014001297. The next prime is 122014001359. The reversal of 122014001340 is 43100410221.

122014001340 is a `hidden beast` number, since 1 + 220 + 1 + 400 + 1 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 2204121 + ... + 2258799.

It is an arithmetic number, because the mean of its divisors is an integer number (1134500640).

Almost surely, 2^122014001340 is an apocalyptic number.

122014001340 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 122014001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245052138240).

122014001340 is an abundant number, since it is smaller than the sum of its proper divisors (368090275140).

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

122014001340 is a wasteful number, since it uses less digits than its factorization.

122014001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54742 (or 54730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122014001340 its reverse (43100410221), we get a palindrome (165114411561).

The spelling of 122014001340 in words is "one hundred twenty-two billion, fourteen million, one thousand, three hundred forty".