1213800 has 144 divisors (see below), whose sum is σ = 4568160. Its totient is φ = 261120.

The previous prime is 1213781. The next prime is 1213801. The reversal of 1213800 is 83121.

It is a happy number.

1213800 is nontrivially palindromic in base 13.

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

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 1213800.

It is not an unprimeable number, because it can be changed into a prime (1213801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71392 + ... + 71408.

2^1213800 is an apocalyptic number.

1213800 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 1213800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284080).

1213800 is an abundant number, since it is smaller than the sum of its proper divisors (3354360).

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

1213800 is a wasteful number, since it uses less digits than its factorization.

1213800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1213800 is about 1101.7259187293. The cubic root of 1213800 is about 106.6716577526.

Adding to 1213800 its reverse (83121), we get a palindrome (1296921).

It can be divided in two parts, 12 and 13800, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 1213800 in words is "one million, two hundred thirteen thousand, eight hundred".