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212100021001200 = 243521728137000213
BaseRepresentation
bin110000001110011101100010…
…011010001001101111110000
31000210222120020010212110211210
4300032131202122021233300
5210300021320334014300
62031033223212440120
762450502146654523
oct6016354232115760
91023876203773753
10212100021001200
1161644128467812
121b9564a3a79040
139146c3b932237
143a539a536cbba
15197c31ce97050
hexc0e762689bf0

212100021001200 has 240 divisors, whose sum is σ = 721953503598816. Its totient is φ = 53043503923200.

The previous prime is 212100021001133. The next prime is 212100021001201. The reversal of 212100021001200 is 2100120001212.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100021001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12767707 + ... + 24232506.

Almost surely, 2212100021001200 is an apocalyptic number.

212100021001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100021001200 is an abundant number, since it is smaller than the sum of its proper divisors (509853482597616).

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

212100021001200 is a wasteful number, since it uses less digits than its factorization.

212100021001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37000532 (or 37000521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212100021001200 its reverse (2100120001212), we get a palindrome (214200141002412).

The spelling of 212100021001200 in words is "two hundred twelve trillion, one hundred billion, twenty-one million, one thousand, two hundred".