122134341444120 has 256 divisors, whose sum is σ = 425045263104000. Its totient is φ = 31136228817408.

The previous prime is 122134341444007. The next prime is 122134341444139. The reversal of 122134341444120 is 21444143431221.

122134341444120 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 43 + 41 + 444 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44548446 + ... + 47210514.

It is an arithmetic number, because the mean of its divisors is an integer number (1660333059000).

Almost surely, 2^{122134341444120} is an apocalyptic number.

122134341444120 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 122134341444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212522631552000).

122134341444120 is an abundant number, since it is smaller than the sum of its proper divisors (302910921659880).

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

122134341444120 is a wasteful number, since it uses less digits than its factorization.

122134341444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663959 (or 2663949 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 122134341444120 its reverse (21444143431221), we get a palindrome (143578484875341).

The spelling of 122134341444120 in words is "one hundred twenty-two trillion, one hundred thirty-four billion, three hundred forty-one million, four hundred forty-four thousand, one hundred twenty".