612127107263320 has 256 divisors, whose sum is σ = 1532433520512000. Its totient is φ = 220018680161280.

The previous prime is 612127107263303. The next prime is 612127107263323. The reversal of 612127107263320 is 23362701721216.

612127107263320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612127107263323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15726597379 + ... + 15726636301.

It is an arithmetic number, because the mean of its divisors is an integer number (5986068439500).

Almost surely, 2^{612127107263320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612127107263320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766216760256000).

612127107263320 is an abundant number, since it is smaller than the sum of its proper divisors (920306413248680).

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

612127107263320 is a wasteful number, since it uses less digits than its factorization.

612127107263320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42375 (or 42349 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

Adding to 612127107263320 its reverse (23362701721216), we get a palindrome (635489808984536).

The spelling of 612127107263320 in words is "six hundred twelve trillion, one hundred twenty-seven billion, one hundred seven million, two hundred sixty-three thousand, three hundred twenty".