612242100 has 162 divisors, whose sum is σ = 1961469510. Its totient is φ = 159719040.

The previous prime is 612242089. The next prime is 612242119. The reversal of 612242100 is 1242216.

612242100 is a `hidden beast` number, since 612 + 2 + 42 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 72795024 + 539447076 = 8532^2 + 23226^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5616846 + ... + 5616954.

Almost surely, 2^612242100 is an apocalyptic number.

612242100 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 612242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980734755).

612242100 is an abundant number, since it is smaller than the sum of its proper divisors (1349227410).

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

612242100 is a wasteful number, since it uses less digits than its factorization.

612242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 612242100 is about 24743.5264261180. The cubic root of 612242100 is about 849.1304140250.

Adding to 612242100 its reverse (1242216), we get a palindrome (613484316).

The spelling of 612242100 in words is "six hundred twelve million, two hundred forty-two thousand, one hundred".