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2122032000000 = 210356114019
BaseRepresentation
bin11110111000010010111…
…101101010110000000000
321111212100001120202102210
4132320102331222300000
5234231410143000000
64302503102142120
7306211634250513
oct36702275526000
97455301522383
102122032000000
11748a48819650
122a3320281940
1312515071b1b3
14749c7a20d7a
153a2eb567350
hex1ee12f6ac00

2122032000000 has 616 divisors, whose sum is σ = 7714532502720. Its totient is φ = 514304000000.

The previous prime is 2122031999993. The next prime is 2122032000017. The reversal of 2122032000000 is 2302212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2122032000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 527997991 + ... + 528002009.

Almost surely, 22122032000000 is an apocalyptic number.

2122032000000 is a gapful number since it is divisible by the number (20) 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 2122032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857266251360).

2122032000000 is an abundant number, since it is smaller than the sum of its proper divisors (5592500502720).

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

2122032000000 is an frugal number, since it uses more digits than its factorization.

2122032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2122032000000 its reverse (2302212), we get a palindrome (2122034302212).

The spelling of 2122032000000 in words is "two trillion, one hundred twenty-two billion, thirty-two million", and thus it is an aban number.