122121507312 has 120 divisors (see below), whose sum is σ = 391776095360. Its totient is φ = 34786350720.

The previous prime is 122121507289. The next prime is 122121507317. The reversal of 122121507312 is 213705121221.

It is a happy number.

122121507312 is a `hidden beast` number, since 1 + 2 + 2 + 121 + 507 + 31 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121507317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150639 + ... + 516657.

Almost surely, 2^122121507312 is an apocalyptic number.

122121507312 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 122121507312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195888047680).

122121507312 is an abundant number, since it is smaller than the sum of its proper divisors (269654588048).

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

122121507312 is a wasteful number, since it uses less digits than its factorization.

122121507312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366371 (or 366362 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 122121507312 its reverse (213705121221), we get a palindrome (335826628533).

The spelling of 122121507312 in words is "one hundred twenty-two billion, one hundred twenty-one million, five hundred seven thousand, three hundred twelve".