1213920000 has 360 divisors, whose sum is σ = 4501746480. Its totient is φ = 322560000.

The previous prime is 1213919951. The next prime is 1213920007. The reversal of 1213920000 is 293121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1213920007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319860 + ... + 4320140.

Almost surely, 2^1213920000 is an apocalyptic number.

1213920000 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 1213920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250873240).

1213920000 is an abundant number, since it is smaller than the sum of its proper divisors (3287826480).

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

1213920000 is an frugal number, since it uses more digits than its factorization.

1213920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1213920000 is about 34841.3547382991. The cubic root of 1213920000 is about 1066.7517293275.

The spelling of 1213920000 in words is "one billion, two hundred thirteen million, nine hundred twenty thousand".