122434211343240 has 256 divisors, whose sum is σ = 408607587072000. Its totient is φ = 32609654265600.

The previous prime is 122434211343239. The next prime is 122434211343247. The reversal of 122434211343240 is 42343112434221.

122434211343240 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 3 + 4 + 211 + 3 + 432 + 4 + 0 = 666.

It is a super-2 number, since 2×122434211343240² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122434211343195 and 122434211343204.

It is not an unprimeable number, because it can be changed into a prime (122434211343247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6219028677 + ... + 6219048363.

It is an arithmetic number, because the mean of its divisors is an integer number (1596123387000).

Almost surely, 2^{122434211343240} is an apocalyptic number.

122434211343240 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 122434211343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204303793536000).

122434211343240 is an abundant number, since it is smaller than the sum of its proper divisors (286173375728760).

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

122434211343240 is a wasteful number, since it uses less digits than its factorization.

122434211343240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26377 (or 26367 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 122434211343240 its reverse (42343112434221), we get a palindrome (164777323777461).

The spelling of 122434211343240 in words is "one hundred twenty-two trillion, four hundred thirty-four billion, two hundred eleven million, three hundred forty-three thousand, two hundred forty".