612161323200 has 2016 divisors, whose sum is σ = 2778455167488. Its totient is φ = 129392640000.

The previous prime is 612161323181. The next prime is 612161323219. The reversal of 612161323200 is 2323161216.

612161323200 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 613 + 23 + 20 + 0 = 666.

612161323200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (612161323181) and next prime (612161323219).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4672987135 + ... + 4672987265.

It is an arithmetic number, because the mean of its divisors is an integer number (1378201968).

Almost surely, 2^612161323200 is an apocalyptic number.

612161323200 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 612161323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389227583744).

612161323200 is an abundant number, since it is smaller than the sum of its proper divisors (2166293844288).

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

612161323200 is a wasteful number, since it uses less digits than its factorization.

612161323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 612161323200 its reverse (2323161216), we get a palindrome (614484484416).

The spelling of 612161323200 in words is "six hundred twelve billion, one hundred sixty-one million, three hundred twenty-three thousand, two hundred".