1012413420 has 72 divisors (see below), whose sum is σ = 3128960016. Its totient is φ = 264880512.

The previous prime is 1012413383. The next prime is 1012413433. The reversal of 1012413420 is 243142101.

1012413420 is a `hidden beast` number, since 1 + 0 + 1 + 241 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1012413393 and 1012413402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43522 + ... + 62601.

It is an arithmetic number, because the mean of its divisors is an integer number (43457778).

Almost surely, 2^1012413420 is an apocalyptic number.

1012413420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012413420 is an abundant number, since it is smaller than the sum of its proper divisors (2116546596).

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

1012413420 is a wasteful number, since it uses less digits than its factorization.

1012413420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106191 (or 106186 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1012413420 is about 31818.4446508625. Note that the first 3 decimals coincide. The cubic root of 1012413420 is about 1004.1208023297.

Adding to 1012413420 its reverse (243142101), we get a palindrome (1255555521).

The spelling of 1012413420 in words is "one billion, twelve million, four hundred thirteen thousand, four hundred twenty".