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12021200000 = 275541733
BaseRepresentation
bin10110011001000010…
…01111010010000000
31011000210000020021122
423030201033102000
5144104411400000
65304504011412
7603616341215
oct131441172200
934023006248
1012021200000
115109721537
1223b5a60b68
1311976781c4
14820779b0c
154a555c085
hex2cc84f480

12021200000 has 192 divisors, whose sum is σ = 30705612840. Its totient is φ = 4684800000.

The previous prime is 12021199991. The next prime is 12021200017. The reversal of 12021200000 is 212021.

It can be written as a sum of positive squares in 12 ways, for example, as 5116254784 + 6904945216 = 71528^2 + 83096^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 23 ways as a sum of consecutive naturals, for example, 16399634 + ... + 16400366.

Almost surely, 212021200000 is an apocalyptic number.

12021200000 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 12021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352806420).

12021200000 is an abundant number, since it is smaller than the sum of its proper divisors (18684412840).

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

12021200000 is an frugal number, since it uses more digits than its factorization.

12021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12021200000 its reverse (212021), we get a palindrome (12021412021).

The spelling of 12021200000 in words is "twelve billion, twenty-one million, two hundred thousand".