1299072000 has 352 divisors, whose sum is σ = 4598380800. Its totient is φ = 324403200.

The previous prime is 1299071989. The next prime is 1299072001. The reversal of 1299072000 is 2709921.

It is a super-2 number, since 2×1299072000² = 3375176122368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1299072001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6527901 + ... + 6528099.

Almost surely, 2^1299072000 is an apocalyptic number.

1299072000 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 1299072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299190400).

1299072000 is an abundant number, since it is smaller than the sum of its proper divisors (3299308800).

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

1299072000 is a wasteful number, since it uses less digits than its factorization.

1299072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1299072000 is about 36042.6414126379. The cubic root of 1299072000 is about 1091.1331257051.

The spelling of 1299072000 in words is "one billion, two hundred ninety-nine million, seventy-two thousand".