612091420200 has 480 divisors, whose sum is σ = 2293398759960. Its totient is φ = 150406502400.

The previous prime is 612091420177. The next prime is 612091420207. The reversal of 612091420200 is 2024190216.

612091420200 is a `hidden beast` number, since 612 + 0 + 9 + 1 + 4 + 20 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 24743919204 + 587347500996 = 157302^2 + 766386^2 .

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 (612091420207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 139204402 + ... + 139208798.

Almost surely, 2^612091420200 is an apocalyptic number.

612091420200 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 612091420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146699379980).

612091420200 is an abundant number, since it is smaller than the sum of its proper divisors (1681307339760).

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

612091420200 is a wasteful number, since it uses less digits than its factorization.

612091420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 612091420200 in words is "six hundred twelve billion, ninety-one million, four hundred twenty thousand, two hundred".