1200131400 has 192 divisors, whose sum is σ = 4029117120. Its totient is φ = 293760000.

The previous prime is 1200131381. The next prime is 1200131407. The reversal of 1200131400 is 41310021.

It is a happy number.

1200131400 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1200131407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1957494 + ... + 1958106.

It is an arithmetic number, because the mean of its divisors is an integer number (20984985).

Almost surely, 2^1200131400 is an apocalyptic number.

1200131400 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 1200131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014558560).

1200131400 is an abundant number, since it is smaller than the sum of its proper divisors (2828985720).

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

1200131400 is a wasteful number, since it uses less digits than its factorization.

1200131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1200131400 is about 34642.9126950954. The cubic root of 1200131400 is about 1062.6973548047.

Adding to 1200131400 its reverse (41310021), we get a palindrome (1241441421).

The spelling of 1200131400 in words is "one billion, two hundred million, one hundred thirty-one thousand, four hundred".