1214032000 has 128 divisors (see below), whose sum is σ = 3150576000. Its totient is φ = 464358400.

The previous prime is 1214031991. The next prime is 1214032007. The reversal of 1214032000 is 2304121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214032007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366351 + ... + 369649.

It is an arithmetic number, because the mean of its divisors is an integer number (24613875).

Almost surely, 2^1214032000 is an apocalyptic number.

1214032000 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 1214032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575288000).

1214032000 is an abundant number, since it is smaller than the sum of its proper divisors (1936544000).

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

1214032000 is an equidigital number, since it uses as much as digits as its factorization.

1214032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1214032000 is about 34842.9619866050. The cubic root of 1214032000 is about 1066.7845355859.

Adding to 1214032000 its reverse (2304121), we get a palindrome (1216336121).

The spelling of 1214032000 in words is "one billion, two hundred fourteen million, thirty-two thousand".