1321992000 has 672 divisors, whose sum is σ = 5620902144. Its totient is φ = 290304000.

The previous prime is 1321991971. The next prime is 1321992017. The reversal of 1321992000 is 2991231.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21671970 + ... + 21672030.

Almost surely, 2^1321992000 is an apocalyptic number.

1321992000 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 1321992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810451072).

1321992000 is an abundant number, since it is smaller than the sum of its proper divisors (4298910144).

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

1321992000 is a wasteful number, since it uses less digits than its factorization.

1321992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1321992000 is about 36359.2079121644. The cubic root of 1321992000 is about 1097.5128379249.

The spelling of 1321992000 in words is "one billion, three hundred twenty-one million, nine hundred ninety-two thousand".