1255214000 has 80 divisors (see below), whose sum is σ = 3043198080. Its totient is φ = 500748800.

The previous prime is 1255213997. The next prime is 1255214003. The reversal of 1255214000 is 4125521.

It is an interprime number because it is at equal distance from previous prime (1255213997) and next prime (1255214003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1255214003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137449 + ... + 1138551.

It is an arithmetic number, because the mean of its divisors is an integer number (38039976).

Almost surely, 2^1255214000 is an apocalyptic number.

1255214000 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 1255214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521599040).

1255214000 is an abundant number, since it is smaller than the sum of its proper divisors (1787984080).

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

1255214000 is a wasteful number, since it uses less digits than its factorization.

1255214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1255214000 is about 35428.9994213780. Note that the first 3 decimals coincide. The cubic root of 1255214000 is about 1078.7130303352.

Adding to 1255214000 its reverse (4125521), we get a palindrome (1259339521).

It can be divided in two parts, 125 and 5214000, that added together give a palindrome (5214125).

The spelling of 1255214000 in words is "one billion, two hundred fifty-five million, two hundred fourteen thousand".