122501334312 has 320 divisors, whose sum is σ = 415105891200. Its totient is φ = 32970862080.

The previous prime is 122501334311. The next prime is 122501334317. The reversal of 122501334312 is 213433105221.

122501334312 is a `hidden beast` number, since 1 + 225 + 0 + 1 + 3 + 3 + 431 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122501334311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15595378 + ... + 15603230.

It is an arithmetic number, because the mean of its divisors is an integer number (1297205910).

Almost surely, 2^122501334312 is an apocalyptic number.

122501334312 is a gapful number since it is divisible by the number (12) 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 122501334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207552945600).

122501334312 is an abundant number, since it is smaller than the sum of its proper divisors (292604556888).

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

122501334312 is a wasteful number, since it uses less digits than its factorization.

122501334312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8078 (or 8065 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 122501334312 its reverse (213433105221), we get a palindrome (335934439533).

The spelling of 122501334312 in words is "one hundred twenty-two billion, five hundred one million, three hundred thirty-four thousand, three hundred twelve".