7412109120 has 280 divisors, whose sum is σ = 28395634344. Its totient is φ = 1824436224.

The previous prime is 7412109097. The next prime is 7412109163. The reversal of 7412109120 is 219012147.

It can be written as a sum of positive squares in 4 ways, for example, as 303595776 + 7108513344 = 17424^2 + 84312^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 325962 + ... + 347958.

Almost surely, 2^7412109120 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 7412109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14197817172).

7412109120 is an abundant number, since it is smaller than the sum of its proper divisors (20983525224).

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

7412109120 is a wasteful number, since it uses less digits than its factorization.

7412109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22039 (or 22020 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7412109120 is about 86093.6067312783. The cubic root of 7412109120 is about 1949.7575083078.

The spelling of 7412109120 in words is "seven billion, four hundred twelve million, one hundred nine thousand, one hundred twenty".