Search a number
-
+
12219312920 = 235305482823
BaseRepresentation
bin10110110000101001…
…11110101100011000
31011112120210102010012
423120110332230120
5200011121003140
65340302141052
7611543306003
oct133024765430
934476712105
1012219312920
115200535721
122450281788
1311c9721599
1483cbca53a
154b7b42265
hex2d853eb18

12219312920 has 16 divisors (see below), whose sum is σ = 27493454160. Its totient is φ = 4887725152.

The previous prime is 12219312877. The next prime is 12219312947. The reversal of 12219312920 is 2921391221.

It is a happy number.

12219312920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152741372 + ... + 152741451.

It is an arithmetic number, because the mean of its divisors is an integer number (1718340885).

Almost surely, 212219312920 is an apocalyptic number.

12219312920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12219312920 is an abundant number, since it is smaller than the sum of its proper divisors (15274141240).

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

12219312920 is a wasteful number, since it uses less digits than its factorization.

12219312920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305482834 (or 305482830 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 12219312920 in words is "twelve billion, two hundred nineteen million, three hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 305482823 610965646 1221931292 1527414115 2443862584 3054828230 6109656460 12219312920