122034043141400 has 192 divisors, whose sum is σ = 314001135974400. Its totient is φ = 43814594856960.

The previous prime is 122034043141399. The next prime is 122034043141457. The reversal of 122034043141400 is 4141340430221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160177769 + ... + 160937831.

It is an arithmetic number, because the mean of its divisors is an integer number (1635422583200).

Almost surely, 2^{122034043141400} is an apocalyptic number.

122034043141400 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 122034043141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157000567987200).

122034043141400 is an abundant number, since it is smaller than the sum of its proper divisors (191967092833000).

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

122034043141400 is a wasteful number, since it uses less digits than its factorization.

122034043141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761798 (or 761789 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 122034043141400 its reverse (4141340430221), we get a palindrome (126175383571621).

The spelling of 122034043141400 in words is "one hundred twenty-two trillion, thirty-four billion, forty-three million, one hundred forty-one thousand, four hundred".