122554344400350 has 96 divisors (see below), whose sum is σ = 320046073776000. Its totient is φ = 30949994378880.

The previous prime is 122554344400343. The next prime is 122554344400357. The reversal of 122554344400350 is 53004443455221.

122554344400350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122554344400343) and next prime (122554344400357).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122554344400357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239521 + ... + 15657779.

It is an arithmetic number, because the mean of its divisors is an integer number (3333813268500).

Almost surely, 2^{122554344400350} is an apocalyptic number.

122554344400350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122554344400350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160023036888000).

122554344400350 is an abundant number, since it is smaller than the sum of its proper divisors (197491729375650).

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

122554344400350 is a wasteful number, since it uses less digits than its factorization.

122554344400350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15421082 (or 15421077 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 122554344400350 its reverse (53004443455221), we get a palindrome (175558787855571).

The spelling of 122554344400350 in words is "one hundred twenty-two trillion, five hundred fifty-four billion, three hundred forty-four million, four hundred thousand, three hundred fifty".