122134018406400 has 2304 divisors, whose sum is σ = 602349597158400. Its totient is φ = 23426039808000.

The previous prime is 122134018406359. The next prime is 122134018406441. The reversal of 122134018406400 is 4604810431221.

122134018406400 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 4 + 0 + 1 + 8 + 4 + 0 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122134018406359) and next prime (122134018406441).

It is a tau number, because it is divible by the number of its divisors (2304).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1383738270 + ... + 1383826530.

It is an arithmetic number, because the mean of its divisors is an integer number (261436457100).

Almost surely, 2^{122134018406400} is an apocalyptic number.

122134018406400 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 122134018406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301174798579200).

122134018406400 is an abundant number, since it is smaller than the sum of its proper divisors (480215578752000).

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

122134018406400 is a wasteful number, since it uses less digits than its factorization.

122134018406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88333 (or 88302 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 122134018406400 its reverse (4604810431221), we get a palindrome (126738828837621).

The spelling of 122134018406400 in words is "one hundred twenty-two trillion, one hundred thirty-four billion, eighteen million, four hundred six thousand, four hundred".