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12219668370 = 2335713267571
BaseRepresentation
bin10110110000101100…
…10101011110010010
31011112121110110201000
423120112111132102
5200011213341440
65340313522430
7611546316210
oct133026253622
934477413630
1012219668370
115200758788
122450413416
1311c9817300
1483cc7dcb0
154b7bb2730
hex2d8595792

12219668370 has 384 divisors, whose sum is σ = 40999495680. Its totient is φ = 2535287040.

The previous prime is 12219668369. The next prime is 12219668399. The reversal of 12219668370 is 7386691221.

12219668370 is a `hidden beast` number, since 1 + 2 + 219 + 6 + 68 + 370 = 666.

12219668370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 21400185 + ... + 21400755.

It is an arithmetic number, because the mean of its divisors is an integer number (106769520).

Almost surely, 212219668370 is an apocalyptic number.

12219668370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12219668370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20499747840).

12219668370 is an abundant number, since it is smaller than the sum of its proper divisors (28779827310).

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

12219668370 is a wasteful number, since it uses less digits than its factorization.

12219668370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12219668370 in words is "twelve billion, two hundred nineteen million, six hundred sixty-eight thousand, three hundred seventy".