122400235431345 has 16 divisors (see below), whose sum is σ = 199535478138432. Its totient is φ = 64048425080640.

The previous prime is 122400235431311. The next prime is 122400235431359. The reversal of 122400235431345 is 543134532004221.

It is a happy number.

It is not a de Polignac number, because 122400235431345 - 2⁶ = 122400235431281 is a prime.

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, 76981279351 + ... + 76981280940.

It is an arithmetic number, because the mean of its divisors is an integer number (12470967383652).

Almost surely, 2^{122400235431345} is an apocalyptic number.

122400235431345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122400235431345 is a deficient number, since it is larger than the sum of its proper divisors (77135242707087).

122400235431345 is a wasteful number, since it uses less digits than its factorization.

122400235431345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153962560352.

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 122400235431345 its reverse (543134532004221), we get a palindrome (665534767435566).

The spelling of 122400235431345 in words is "one hundred twenty-two trillion, four hundred billion, two hundred thirty-five million, four hundred thirty-one thousand, three hundred forty-five".