1012435200 has 756 divisors, whose sum is σ = 4432438528. Its totient is φ = 223948800.

The previous prime is 1012435199. The next prime is 1012435201. The reversal of 1012435200 is 25342101.

1012435200 is a `hidden beast` number, since 101 + 2 + 43 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1012435199) and next prime (1012435201).

It is a tau number, because it is divible by the number of its divisors (756).

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

It is not an unprimeable number, because it can be changed into a prime (1012435201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 32659185 + ... + 32659215.

Almost surely, 2^1012435200 is an apocalyptic number.

1012435200 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 1012435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216219264).

1012435200 is an abundant number, since it is smaller than the sum of its proper divisors (3420003328).

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

1012435200 is an frugal number, since it uses more digits than its factorization.

1012435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1012435200 is about 31818.7869033375. The cubic root of 1012435200 is about 1004.1280028118.

Adding to 1012435200 its reverse (25342101), we get a palindrome (1037777301).

The spelling of 1012435200 in words is "one billion, twelve million, four hundred thirty-five thousand, two hundred".