1214922240 has 640 divisors, whose sum is σ = 5153955840. Its totient is φ = 268738560.

The previous prime is 1214922239. The next prime is 1214922257. The reversal of 1214922240 is 422294121.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39191025 + ... + 39191055.

It is an arithmetic number, because the mean of its divisors is an integer number (8053056).

Almost surely, 2^1214922240 is an apocalyptic number.

1214922240 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 1214922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576977920).

1214922240 is an abundant number, since it is smaller than the sum of its proper divisors (3939033600).

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

1214922240 is an frugal number, since it uses more digits than its factorization.

1214922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

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

The square root of 1214922240 is about 34855.7346788158. The cubic root of 1214922240 is about 1067.0452267442.

The spelling of 1214922240 in words is "one billion, two hundred fourteen million, nine hundred twenty-two thousand, two hundred forty".