122414302121120 has 96 divisors (see below), whose sum is σ = 298639557974016. Its totient is φ = 47369258496000.

The previous prime is 122414302121117. The next prime is 122414302121129. The reversal of 122414302121120 is 21121203414221.

122414302121120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122414302121120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122414302121120.

It is not an unprimeable number, because it can be changed into a prime (122414302121129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9487337 + ... + 18298583.

It is an arithmetic number, because the mean of its divisors is an integer number (3110828728896).

Almost surely, 2^{122414302121120} is an apocalyptic number.

122414302121120 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 122414302121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149319778987008).

122414302121120 is an abundant number, since it is smaller than the sum of its proper divisors (176225255852896).

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

122414302121120 is a wasteful number, since it uses less digits than its factorization.

122414302121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814094 (or 8814086 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 122414302121120 its reverse (21121203414221), we get a palindrome (143535505535341).

The spelling of 122414302121120 in words is "one hundred twenty-two trillion, four hundred fourteen billion, three hundred two million, one hundred twenty-one thousand, one hundred twenty".