1200414114 has 64 divisors (see below), whose sum is σ = 2794694400. Its totient is φ = 381211776.

The previous prime is 1200414079. The next prime is 1200414133. The reversal of 1200414114 is 4114140021.

1200414114 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332302 + ... + 335894.

It is an arithmetic number, because the mean of its divisors is an integer number (43667100).

Almost surely, 2^1200414114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200414114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397347200).

1200414114 is an abundant number, since it is smaller than the sum of its proper divisors (1594280286).

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

1200414114 is a wasteful number, since it uses less digits than its factorization.

1200414114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1200414114 is about 34646.9928565236. The cubic root of 1200414114 is about 1062.7807945102.

Adding to 1200414114 its reverse (4114140021), we get a palindrome (5314554135).

The spelling of 1200414114 in words is "one billion, two hundred million, four hundred fourteen thousand, one hundred fourteen".