1255006200 has 192 divisors, whose sum is σ = 4482213120. Its totient is φ = 284544000.

The previous prime is 1255006199. The next prime is 1255006211. The reversal of 1255006200 is 26005521.

1255006200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549060 + ... + 551340.

It is an arithmetic number, because the mean of its divisors is an integer number (23344860).

Almost surely, 2^1255006200 is an apocalyptic number.

1255006200 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 1255006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241106560).

1255006200 is an abundant number, since it is smaller than the sum of its proper divisors (3227206920).

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

1255006200 is a wasteful number, since it uses less digits than its factorization.

1255006200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1255006200 is about 35426.0666741314. The cubic root of 1255006200 is about 1078.6535002635.

The spelling of 1255006200 in words is "one billion, two hundred fifty-five million, six thousand, two hundred".