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12203377920 = 283351720771
BaseRepresentation
bin10110101110110000…
…01100010100000000
31011111110210211102000
423113120030110000
5144443031043140
65334532424000
7611261000166
oct132730142400
934443724360
1012203377920
1151a25414a8
122446a78000
1311c63324a6
1483aa3d236
154b6545a30
hex2d760c500

12203377920 has 288 divisors, whose sum is σ = 45854605440. Its totient is φ = 3062661120.

The previous prime is 12203377859. The next prime is 12203377939. The reversal of 12203377920 is 2977330221.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 577135 + ... + 597905.

It is an arithmetic number, because the mean of its divisors is an integer number (159217380).

Almost surely, 212203377920 is an apocalyptic number.

12203377920 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 12203377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22927302720).

12203377920 is an abundant number, since it is smaller than the sum of its proper divisors (33651227520).

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

12203377920 is a wasteful number, since it uses less digits than its factorization.

12203377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20818 (or 20798 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 12203377920 in words is "twelve billion, two hundred three million, three hundred seventy-seven thousand, nine hundred twenty".