1012513200 has 120 divisors (see below), whose sum is σ = 3434275728. Its totient is φ = 254115840.

The previous prime is 1012513171. The next prime is 1012513207. The reversal of 1012513200 is 23152101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012513200.

It is not an unprimeable number, because it can be changed into a prime (1012513207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4417 + ... + 45216.

Almost surely, 2^1012513200 is an apocalyptic number.

1012513200 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 1012513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717137864).

1012513200 is an abundant number, since it is smaller than the sum of its proper divisors (2421762528).

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

1012513200 is a wasteful number, since it uses less digits than its factorization.

1012513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49671 (or 49660 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1012513200 is about 31820.0125707078. The cubic root of 1012513200 is about 1004.1537888154.

Adding to 1012513200 its reverse (23152101), we get a palindrome (1035665301).

The spelling of 1012513200 in words is "one billion, twelve million, five hundred thirteen thousand, two hundred".