1321914900 has 216 divisors, whose sum is σ = 4135707520. Its totient is φ = 325877760.

The previous prime is 1321914889. The next prime is 1321914929. The reversal of 1321914900 is 94191231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6849204 + ... + 6849396.

Almost surely, 2^1321914900 is an apocalyptic number.

1321914900 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 1321914900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067853760).

1321914900 is an abundant number, since it is smaller than the sum of its proper divisors (2813792620).

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

1321914900 is a wasteful number, since it uses less digits than its factorization.

1321914900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1321914900 is about 36358.1476425849. The cubic root of 1321914900 is about 1097.4915014658.

The spelling of 1321914900 in words is "one billion, three hundred twenty-one million, nine hundred fourteen thousand, nine hundred".