1013212200 has 576 divisors, whose sum is σ = 4310349120. Its totient is φ = 193536000.

The previous prime is 1013212199. The next prime is 1013212231. The reversal of 1013212200 is 22123101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4204080 + ... + 4204320.

It is an arithmetic number, because the mean of its divisors is an integer number (7483245).

Almost surely, 2^1013212200 is an apocalyptic number.

1013212200 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 1013212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155174560).

1013212200 is an abundant number, since it is smaller than the sum of its proper divisors (3297136920).

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

1013212200 is a wasteful number, since it uses less digits than its factorization.

1013212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 282 counting only the distinct ones).

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

The square root of 1013212200 is about 31830.9943294268. The cubic root of 1013212200 is about 1004.3848119888.

Adding to 1013212200 its reverse (22123101), we get a palindrome (1035335301).

The spelling of 1013212200 in words is "one billion, thirteen million, two hundred twelve thousand, two hundred".