1213625200 has 120 divisors (see below), whose sum is σ = 3043832960. Its totient is φ = 464486400.

The previous prime is 1213625173. The next prime is 1213625201. The reversal of 1213625200 is 25263121.

It is a super-2 number, since 2×1213625200² = 2945772252150080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213625201) 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, 1202296 + ... + 1203304.

Almost surely, 2^1213625200 is an apocalyptic number.

1213625200 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 1213625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521916480).

1213625200 is an abundant number, since it is smaller than the sum of its proper divisors (1830207760).

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

1213625200 is a wasteful number, since it uses less digits than its factorization.

1213625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1213625200 is about 34837.1238766922. The cubic root of 1213625200 is about 1066.6653689220.

Adding to 1213625200 its reverse (25263121), we get a palindrome (1238888321).

The spelling of 1213625200 in words is "one billion, two hundred thirteen million, six hundred twenty-five thousand, two hundred".