1213993000 has 192 divisors, whose sum is σ = 3186892800. Its totient is φ = 432432000.

The previous prime is 1213992979. The next prime is 1213993021. The reversal of 1213993000 is 3993121.

It is an interprime number because it is at equal distance from previous prime (1213992979) and next prime (1213993021).

It is a self number, because there is not a number n which added to its sum of digits gives 1213993000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9558937 + ... + 9559063.

It is an arithmetic number, because the mean of its divisors is an integer number (16598400).

Almost surely, 2^1213993000 is an apocalyptic number.

1213993000 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 1213993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593446400).

1213993000 is an abundant number, since it is smaller than the sum of its proper divisors (1972899800).

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

1213993000 is a wasteful number, since it uses less digits than its factorization.

1213993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 1213993000 is about 34842.4023281978. The cubic root of 1213993000 is about 1066.7731122070.

The spelling of 1213993000 in words is "one billion, two hundred thirteen million, nine hundred ninety-three thousand".