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12243197920 = 255731048219
BaseRepresentation
bin10110110011100000…
…00101111111100000
31011121020201220011211
423121300011333200
5200033224313140
65342514115504
7612253315402
oct133160057740
934536656154
1012243197920
115212a69898
12245827bb94
131201665115
14842046b72
154b9cae2ea
hex2d9c05fe0

12243197920 has 48 divisors (see below), whose sum is σ = 29320809840. Its totient is φ = 4830188544.

The previous prime is 12243197867. The next prime is 12243197933. The reversal of 12243197920 is 2979134221.

12243197920 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 (40).

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 7 ways as a sum of consecutive naturals, for example, 512430 + ... + 535789.

It is an arithmetic number, because the mean of its divisors is an integer number (610850205).

Almost surely, 212243197920 is an apocalyptic number.

12243197920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243197920 is an abundant number, since it is smaller than the sum of its proper divisors (17077611920).

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

12243197920 is a wasteful number, since it uses less digits than its factorization.

12243197920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048307 (or 1048299 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 12243197920 in words is "twelve billion, two hundred forty-three million, one hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 1048219 2096438 4192876 5241095 8385752 10482190 16771504 20964380 33543008 41928760 76519987 83857520 153039974 167715040 306079948 382599935 612159896 765199870 1224319792 1530399740 2448639584 3060799480 6121598960 12243197920