126215120 has 20 divisors (see below), whose sum is σ = 293450340. Its totient is φ = 50486016.

The previous prime is 126215107. The next prime is 126215143. The reversal of 126215120 is 21512621.

It can be written as a sum of positive squares in 2 ways, for example, as 27331984 + 98883136 = 5228^2 + 9944^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×126215120² = 31860513033228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 126215092 and 126215101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 788765 + ... + 788924.

It is an arithmetic number, because the mean of its divisors is an integer number (14672517).

Almost surely, 2^126215120 is an apocalyptic number.

126215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126215120 is an abundant number, since it is smaller than the sum of its proper divisors (167235220).

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

126215120 is a wasteful number, since it uses less digits than its factorization.

126215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577702 (or 1577696 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 126215120 is about 11234.5502802738. The cubic root of 126215120 is about 501.6149383326.

Adding to 126215120 its reverse (21512621), we get a palindrome (147727741).

The spelling of 126215120 in words is "one hundred twenty-six million, two hundred fifteen thousand, one hundred twenty".