1205266000 has 80 divisors (see below), whose sum is σ = 3085851600. Its totient is φ = 453734400.

The previous prime is 1205265973. The next prime is 1205266001. The reversal of 1205266000 is 6625021.

It can be written as a sum of positive squares in 8 ways, for example, as 311734336 + 893531664 = 17656^2 + 29892^2 .

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

It is a super-2 number, since 2×1205266000² = 2905332261512000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205266001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16276 + ... + 51724.

It is an arithmetic number, because the mean of its divisors is an integer number (38573145).

Almost surely, 2^1205266000 is an apocalyptic number.

1205266000 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 1205266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542925800).

1205266000 is an abundant number, since it is smaller than the sum of its proper divisors (1880585600).

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

1205266000 is a wasteful number, since it uses less digits than its factorization.

1205266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35489 (or 35473 counting only the distinct ones).

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

The square root of 1205266000 is about 34716.9411094929. The cubic root of 1205266000 is about 1064.2107342597.

The spelling of 1205266000 in words is "one billion, two hundred five million, two hundred sixty-six thousand".