7412212224 has 120 divisors (see below), whose sum is σ = 21914464572. Its totient is φ = 2410414080.

The previous prime is 7412212219. The next prime is 7412212229. The reversal of 7412212224 is 4222122147.

It is a happy number.

7412212224 is a `hidden beast` number, since 7 + 412 + 21 + 2 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (7412212219) and next prime (7412212229).

It can be written as a sum of positive squares in 2 ways, for example, as 5149497600 + 2262714624 = 71760^2 + 47568^2 .

It is not an unprimeable number, because it can be changed into a prime (7412212229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169312 + ... + 208544.

Almost surely, 2^7412212224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7412212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957232286).

7412212224 is an abundant number, since it is smaller than the sum of its proper divisors (14502252348).

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

7412212224 is a wasteful number, since it uses less digits than its factorization.

7412212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39298 (or 39279 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 7412212224 is about 86094.2055193031. The cubic root of 7412212224 is about 1949.7665487785.

The spelling of 7412212224 in words is "seven billion, four hundred twelve million, two hundred twelve thousand, two hundred twenty-four".