122314111343040 has 224 divisors, whose sum is σ = 397657299029760. Its totient is φ = 31836218351616.

The previous prime is 122314111343033. The next prime is 122314111343059. The reversal of 122314111343040 is 40343111413221.

122314111343040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122314111342989 and 122314111343007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57868356 + ... + 59944764.

It is an arithmetic number, because the mean of its divisors is an integer number (1775255799240).

Almost surely, 2^{122314111343040} is an apocalyptic number.

122314111343040 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 122314111343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198828649514880).

122314111343040 is an abundant number, since it is smaller than the sum of its proper divisors (275343187686720).

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

122314111343040 is a wasteful number, since it uses less digits than its factorization.

122314111343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077899 (or 2077889 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 122314111343040 its reverse (40343111413221), we get a palindrome (162657222756261).

The spelling of 122314111343040 in words is "one hundred twenty-two trillion, three hundred fourteen billion, one hundred eleven million, three hundred forty-three thousand, forty".