1214667120 has 80 divisors (see below), whose sum is σ = 3821719680. Its totient is φ = 319072512.

The previous prime is 1214667109. The next prime is 1214667133. The reversal of 1214667120 is 217664121.

It is a tau number, because it is divible by the number of its divisors (80).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21690 + ... + 53849.

It is an arithmetic number, because the mean of its divisors is an integer number (47771496).

Almost surely, 2^1214667120 is an apocalyptic number.

1214667120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214667120 is an abundant number, since it is smaller than the sum of its proper divisors (2607052560).

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

1214667120 is a wasteful number, since it uses less digits than its factorization.

1214667120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75622 (or 75616 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1214667120 is about 34852.0748306324. The cubic root of 1214667120 is about 1066.9705323519.

Subtracting from 1214667120 its reverse (217664121), we obtain a cube (997002999 = 999³).

The spelling of 1214667120 in words is "one billion, two hundred fourteen million, six hundred sixty-seven thousand, one hundred twenty".