122134242214000 has 160 divisors (see below), whose sum is σ = 299434372473600. Its totient is φ = 48174724915200.

The previous prime is 122134242213931. The next prime is 122134242214007. The reversal of 122134242214000 is 412242431221.

It is a self number, because there is not a number n which added to its sum of digits gives 122134242214000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122134242214007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125441056 + ... + 126410944.

It is an arithmetic number, because the mean of its divisors is an integer number (1871464827960).

Almost surely, 2^{122134242214000} is an apocalyptic number.

122134242214000 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 122134242214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149717186236800).

122134242214000 is an abundant number, since it is smaller than the sum of its proper divisors (177300130259600).

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

122134242214000 is an equidigital number, since it uses as much as digits as its factorization.

122134242214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970788 (or 970772 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 122134242214000 its reverse (412242431221), we get a palindrome (122546484645221).

The spelling of 122134242214000 in words is "one hundred twenty-two trillion, one hundred thirty-four billion, two hundred forty-two million, two hundred fourteen thousand".