122114143142240 has 96 divisors (see below), whose sum is σ = 305468740430784. Its totient is φ = 45971810959360.

The previous prime is 122114143142227. The next prime is 122114143142279. The reversal of 122114143142240 is 42241341411221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 122114143142197 and 122114143142206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264264677 + ... + 264726363.

It is an arithmetic number, because the mean of its divisors is an integer number (3181966046154).

Almost surely, 2^{122114143142240} is an apocalyptic number.

122114143142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122114143142240 is an abundant number, since it is smaller than the sum of its proper divisors (183354597288544).

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

122114143142240 is a wasteful number, since it uses less digits than its factorization.

122114143142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558960 (or 558952 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 122114143142240 its reverse (42241341411221), we get a palindrome (164355484553461).

The spelling of 122114143142240 in words is "one hundred twenty-two trillion, one hundred fourteen billion, one hundred forty-three million, one hundred forty-two thousand, two hundred forty".