122142412320 has 96 divisors (see below), whose sum is σ = 386742408192. Its totient is φ = 32402522112.

The previous prime is 122142412313. The next prime is 122142412351. The reversal of 122142412320 is 23214241221.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566592 + ... + 751871.

It is an arithmetic number, because the mean of its divisors is an integer number (4028566752).

Almost surely, 2^122142412320 is an apocalyptic number.

122142412320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122142412320 is an abundant number, since it is smaller than the sum of its proper divisors (264599995872).

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

122142412320 is a wasteful number, since it uses less digits than its factorization.

122142412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318674 (or 1318666 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122142412320 its reverse (23214241221), we get a palindrome (145356653541).

The spelling of 122142412320 in words is "one hundred twenty-two billion, one hundred forty-two million, four hundred twelve thousand, three hundred twenty".