1012134200 has 288 divisors, whose sum is σ = 3072459600. Its totient is φ = 306432000.

The previous prime is 1012134187. The next prime is 1012134209. The reversal of 1012134200 is 24312101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012134209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4419686 + ... + 4419914.

Almost surely, 2^1012134200 is an apocalyptic number.

1012134200 is a gapful number since it is divisible by the number (10) 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 1012134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536229800).

1012134200 is an abundant number, since it is smaller than the sum of its proper divisors (2060325400).

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

1012134200 is a wasteful number, since it uses less digits than its factorization.

1012134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1012134200 is about 31814.0566416796. The cubic root of 1012134200 is about 1004.0284828668.

Adding to 1012134200 its reverse (24312101), we get a palindrome (1036446301).

The spelling of 1012134200 in words is "one billion, twelve million, one hundred thirty-four thousand, two hundred".