7412227200 has 288 divisors, whose sum is σ = 30227708160. Its totient is φ = 1694177280.

The previous prime is 7412227187. The next prime is 7412227231. The reversal of 7412227200 is 27222147.

7412227200 is a `hidden beast` number, since 7 + 412 + 227 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7412227200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183217 + ... + 219983.

It is an arithmetic number, because the mean of its divisors is an integer number (104957320).

Almost surely, 2^7412227200 is an apocalyptic number.

7412227200 is a gapful number since it is divisible by the number (70) 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 7412227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113854080).

7412227200 is an abundant number, since it is smaller than the sum of its proper divisors (22815480960).

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

7412227200 is a wasteful number, since it uses less digits than its factorization.

7412227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36804 (or 36784 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 7412227200 is about 86094.2924937536. The cubic root of 7412227200 is about 1949.7678619125.

Adding to 7412227200 its reverse (27222147), we get a palindrome (7439449347).

The spelling of 7412227200 in words is "seven billion, four hundred twelve million, two hundred twenty-seven thousand, two hundred".