1214801280 has 768 divisors, whose sum is σ = 5469811200. Its totient is φ = 249384960.

The previous prime is 1214801257. The next prime is 1214801303. The reversal of 1214801280 is 821084121.

It is an interprime number because it is at equal distance from previous prime (1214801257) and next prime (1214801303).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14636119 + ... + 14636201.

It is an arithmetic number, because the mean of its divisors is an integer number (7122150).

Almost surely, 2^1214801280 is an apocalyptic number.

1214801280 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 1214801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734905600).

1214801280 is an abundant number, since it is smaller than the sum of its proper divisors (4255009920).

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

1214801280 is a wasteful number, since it uses less digits than its factorization.

1214801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1214801280 is about 34853.9994835600. Note that the first 3 decimals coincide. The cubic root of 1214801280 is about 1067.0098132091.

It can be divided in two parts, 121480 and 1280, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 1214801280 in words is "one billion, two hundred fourteen million, eight hundred one thousand, two hundred eighty".