122035201440 has 96 divisors (see below), whose sum is σ = 384774800256. Its totient is φ = 32511912960.

The previous prime is 122035201423. The next prime is 122035201451. The reversal of 122035201440 is 44102530221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122035201440.

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 15 ways as a sum of consecutive naturals, for example, 389469 + ... + 629091.

It is an arithmetic number, because the mean of its divisors is an integer number (4008070836).

Almost surely, 2^122035201440 is an apocalyptic number.

122035201440 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 122035201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192387400128).

122035201440 is an abundant number, since it is smaller than the sum of its proper divisors (262739598816).

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

122035201440 is a wasteful number, since it uses less digits than its factorization.

122035201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240702 (or 240694 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 122035201440 its reverse (44102530221), we get a palindrome (166137731661).

The spelling of 122035201440 in words is "one hundred twenty-two billion, thirty-five million, two hundred one thousand, four hundred forty".