612212784120 has 640 divisors, whose sum is σ = 2505417868800. Its totient is φ = 130964511744.

The previous prime is 612212784119. The next prime is 612212784191. The reversal of 612212784120 is 21487212216.

612212784120 is a `hidden beast` number, since 612 + 2 + 1 + 27 + 8 + 4 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35757802 + ... + 35774918.

It is an arithmetic number, because the mean of its divisors is an integer number (3914715420).

Almost surely, 2^612212784120 is an apocalyptic number.

612212784120 is a gapful number since it is divisible by the number (60) 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 612212784120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252708934400).

612212784120 is an abundant number, since it is smaller than the sum of its proper divisors (1893205084680).

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

612212784120 is a wasteful number, since it uses less digits than its factorization.

612212784120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17249 (or 17236 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 612212784120 its reverse (21487212216), we get a palindrome (633699996336).

The spelling of 612212784120 in words is "six hundred twelve billion, two hundred twelve million, seven hundred eighty-four thousand, one hundred twenty".