1214466120 has 192 divisors, whose sum is σ = 4578837120. Its totient is φ = 273411072.

The previous prime is 1214466107. The next prime is 1214466151. The reversal of 1214466120 is 216644121.

1214466120 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 46 + 612 + 0 = 666.

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, 165244 + ... + 172436.

It is an arithmetic number, because the mean of its divisors is an integer number (23848110).

Almost surely, 2^1214466120 is an apocalyptic number.

1214466120 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 1214466120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289418560).

1214466120 is an abundant number, since it is smaller than the sum of its proper divisors (3364371000).

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

1214466120 is a wasteful number, since it uses less digits than its factorization.

1214466120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1214466120 is about 34849.1910953468. The cubic root of 1214466120 is about 1066.9116759229.

The spelling of 1214466120 in words is "one billion, two hundred fourteen million, four hundred sixty-six thousand, one hundred twenty".