1242105408 has 112 divisors (see below), whose sum is σ = 3866448960. Its totient is φ = 389670912.

The previous prime is 1242105407. The next prime is 1242105421. The reversal of 1242105408 is 8045012421.

1242105408 is a `hidden beast` number, since 1 + 242 + 10 + 5 + 408 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1242105407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8235 + ... + 50517.

Almost surely, 2^1242105408 is an apocalyptic number.

1242105408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933224480).

1242105408 is an abundant number, since it is smaller than the sum of its proper divisors (2624343552).

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

1242105408 is a wasteful number, since it uses less digits than its factorization.

1242105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42321 (or 42305 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1242105408 is about 35243.5158291564. The cubic root of 1242105408 is about 1074.9447696161.

Adding to 1242105408 its reverse (8045012421), we get a palindrome (9287117829).

The spelling of 1242105408 in words is "one billion, two hundred forty-two million, one hundred five thousand, four hundred eight".