1261472000 has 144 divisors (see below), whose sum is σ = 3188640000. Its totient is φ = 497203200.

The previous prime is 1261471993. The next prime is 1261472011. The reversal of 1261472000 is 2741621.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2527751 + ... + 2528249.

Almost surely, 2^1261472000 is an apocalyptic number.

1261472000 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 1261472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594320000).

1261472000 is an abundant number, since it is smaller than the sum of its proper divisors (1927168000).

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

1261472000 is an frugal number, since it uses more digits than its factorization.

1261472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1261472000 is about 35517.2070974056. The cubic root of 1261472000 is about 1080.5027380479.

The spelling of 1261472000 in words is "one billion, two hundred sixty-one million, four hundred seventy-two thousand".