122365406250 has 168 divisors, whose sum is σ = 337696068060. Its totient is φ = 32011200000.

The previous prime is 122365406237. The next prime is 122365406263. The reversal of 122365406250 is 52604563221.

122365406250 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 6 + 540 + 62 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (122365406237) and next prime (122365406263).

It can be written as a sum of positive squares in 14 ways, for example, as 116822454849 + 5542951401 = 341793^2 + 74451^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14902146 + ... + 14910354.

Almost surely, 2^122365406250 is an apocalyptic number.

122365406250 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 122365406250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168848034030).

122365406250 is an abundant number, since it is smaller than the sum of its proper divisors (215330661810).

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

122365406250 is an frugal number, since it uses more digits than its factorization.

122365406250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 122365406250 its reverse (52604563221), we get a palindrome (174969969471).

The spelling of 122365406250 in words is "one hundred twenty-two billion, three hundred sixty-five million, four hundred six thousand, two hundred fifty".