612112500 has 108 divisors (see below), whose sum is σ = 1934337132. Its totient is φ = 163200000.

The previous prime is 612112481. The next prime is 612112507. The reversal of 612112500 is 5211216.

Added to its reverse (5211216) it gives a square (617323716 = 24846²).

612112500 is a `hidden beast` number, since 612 + 1 + 1 + 2 + 50 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 445547664 + 166564836 = 21108^2 + 12906^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612112507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109780 + ... + 115220.

It is an arithmetic number, because the mean of its divisors is an integer number (17910529).

Almost surely, 2^612112500 is an apocalyptic number.

612112500 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 612112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967168566).

612112500 is an abundant number, since it is smaller than the sum of its proper divisors (1322224632).

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

612112500 is a wasteful number, since it uses less digits than its factorization.

612112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 612112500 is about 24740.9074207071. The cubic root of 612112500 is about 849.0704948810.

Adding to 612112500 its reverse (5211216), we get a palindrome (617323716).

The spelling of 612112500 in words is "six hundred twelve million, one hundred twelve thousand, five hundred".