1008120038 has 32 divisors (see below), whose sum is σ = 1609396992. Its totient is φ = 472586400.

The previous prime is 1008120037. The next prime is 1008120041. The reversal of 1008120038 is 8300218001.

1008120038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1008120038³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1008119995 and 1008120022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008120037) 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, 1242653 + ... + 1243463.

It is an arithmetic number, because the mean of its divisors is an integer number (50293656).

Almost surely, 2^1008120038 is an apocalyptic number.

1008120038 is a deficient number, since it is larger than the sum of its proper divisors (601276954).

1008120038 is a wasteful number, since it uses less digits than its factorization.

1008120038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1008120038 is about 31750.9060973069. The cubic root of 1008120038 is about 1002.6993860915.

Adding to 1008120038 its reverse (8300218001), we get a palindrome (9308338039).

The spelling of 1008120038 in words is "one billion, eight million, one hundred twenty thousand, thirty-eight".