| Base | Representation |
|---|---|
| bin | 100100011001100… |
| … | …1101111000100000 |
| 3 | 10011010020211021122 |
| 4 | 1020303031320200 |
| 5 | 10000133321020 |
| 6 | 321110311412 |
| 7 | 42160415300 |
| oct | 11063157040 |
| 9 | 3133224248 |
| 10 | 1221385760 |
| 11 | 577493221 |
| 12 | 2a1058568 |
| 13 | 16607158a |
| 14 | b82d9600 |
| 15 | 72362125 |
| hex | 48ccde20 |
1221385760 has 144 divisors (see below), whose sum is σ = 3435638976. Its totient is φ = 408909312.
The previous prime is 1221385747. The next prime is 1221385769. The reversal of 1221385760 is 675831221.
It is a happy number.
It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 1221385760.
It is not an unprimeable number, because it can be changed into a prime (1221385769) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 335309 + ... + 338931.
It is an arithmetic number, because the mean of its divisors is an integer number (23858604).
Almost surely, 21221385760 is an apocalyptic number.
1221385760 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 1221385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717819488).
1221385760 is an abundant number, since it is smaller than the sum of its proper divisors (2214253216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1221385760 is a wasteful number, since it uses less digits than its factorization.
1221385760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3695 (or 3680 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 35.
The square root of 1221385760 is about 34948.3298599518. The cubic root of 1221385760 is about 1068.9341469455.
The spelling of 1221385760 in words is "one billion, two hundred twenty-one million, three hundred eighty-five thousand, seven hundred sixty".
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