1200400105 has 16 divisors (see below), whose sum is σ = 1456353360. Its totient is φ = 949771008.

The previous prime is 1200400093. The next prime is 1200400121. The reversal of 1200400105 is 5010040021.

1200400105 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 62552281 + 1137847824 = 7909^2 + 33732^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1200400105 is a prime.

It is a super-2 number, since 2×1200400105² = 2881920824168022050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354199 + ... + 357571.

It is an arithmetic number, because the mean of its divisors is an integer number (91022085).

Almost surely, 2^1200400105 is an apocalyptic number.

It is an amenable number.

1200400105 is a deficient number, since it is larger than the sum of its proper divisors (255953255).

1200400105 is a wasteful number, since it uses less digits than its factorization.

1200400105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1200400105 is about 34646.7906883163. The cubic root of 1200400105 is about 1062.7766602275.

Adding to 1200400105 its reverse (5010040021), we get a palindrome (6210440126).

The spelling of 1200400105 in words is "one billion, two hundred million, four hundred thousand, one hundred five".