Search a number
-
+
1221014714080 = 255719734211867
BaseRepresentation
bin10001110001001010001…
…001011111011011100000
311022201122121121012021011
4101301022021133123200
5130001114231322310
62332532034510304
7154133611553020
oct21611211373340
94281577535234
101221014714080
11430913a79897
12178783435394
138b1ab281c75
14431514aba80
1521b64a9278a
hex11c4a25f6e0

1221014714080 has 384 divisors, whose sum is σ = 3528034513920. Its totient is φ = 390029230080.

The previous prime is 1221014714027. The next prime is 1221014714081. The reversal of 1221014714080 is 804174101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221014714081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653997307 + ... + 653999173.

It is an arithmetic number, because the mean of its divisors is an integer number (9187589880).

Almost surely, 21221014714080 is an apocalyptic number.

1221014714080 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 1221014714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764017256960).

1221014714080 is an abundant number, since it is smaller than the sum of its proper divisors (2307019799840).

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

1221014714080 is a wasteful number, since it uses less digits than its factorization.

1221014714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The spelling of 1221014714080 in words is "one trillion, two hundred twenty-one billion, fourteen million, seven hundred fourteen thousand, eighty".