126116370 has 96 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 30620160.

The previous prime is 126116329. The next prime is 126116371. The reversal of 126116370 is 73611621.

126116370 is a `hidden beast` number, since 1 + 26 + 1 + 1 + 637 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (126116371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46101 + ... + 48759.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^126116370 is an apocalyptic number.

126116370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126116370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

126116370 is an abundant number, since it is smaller than the sum of its proper divisors (232409070).

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

126116370 is a wasteful number, since it uses less digits than its factorization.

126116370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 126116370 is about 11230.1544958206. The cubic root of 126116370 is about 501.4840839646.

Adding to 126116370 its reverse (73611621), we get a palindrome (199727991).

It can be divided in two parts, 12611 and 6370, that added together give a palindrome (18981).

The spelling of 126116370 in words is "one hundred twenty-six million, one hundred sixteen thousand, three hundred seventy".