1214032120 has 64 divisors (see below), whose sum is σ = 3152779200. Its totient is φ = 412108800.

The previous prime is 1214032109. The next prime is 1214032139. The reversal of 1214032120 is 212304121.

It is a junction number, because it is equal to n+sod(n) for n = 1214032094 and 1214032103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6816 + ... + 49744.

It is an arithmetic number, because the mean of its divisors is an integer number (49262175).

Almost surely, 2^1214032120 is an apocalyptic number.

1214032120 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 1214032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576389600).

1214032120 is an abundant number, since it is smaller than the sum of its proper divisors (1938747080).

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

1214032120 is a wasteful number, since it uses less digits than its factorization.

1214032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43048 (or 43044 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1214032120 is about 34842.9637086170. The cubic root of 1214032120 is about 1066.7845707343.

Adding to 1214032120 its reverse (212304121), we get a palindrome (1426336241).

The spelling of 1214032120 in words is "one billion, two hundred fourteen million, thirty-two thousand, one hundred twenty".