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21122000001201 = 3112152423381749
BaseRepresentation
bin1001100110101110110010…
…10011101001100010110001
32202210020120111102010111210
410303113121103221202301
510232030324000014301
6112531151324030333
74310004564461421
oct463273123514261
982706514363453
1021122000001201
116803876395600
1224517030923a9
13ba2a46c116a8
1453044b4a6481
15269671e65ad6
hex1335d94e98b1

21122000001201 has 24 divisors (see below), whose sum is σ = 30955942584000. Its totient is φ = 12801094604320.

The previous prime is 21122000001139. The next prime is 21122000001227. The reversal of 21122000001201 is 10210000022112.

It is not a de Polignac number, because 21122000001201 - 219 = 21121999476913 is a prime.

It is a super-2 number, since 2×211220000012012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21122000006201) 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 23 ways as a sum of consecutive naturals, for example, 55138675 + ... + 55520423.

It is an arithmetic number, because the mean of its divisors is an integer number (1289830941000).

Almost surely, 221122000001201 is an apocalyptic number.

It is an amenable number.

21122000001201 is a deficient number, since it is larger than the sum of its proper divisors (9833942582799).

21122000001201 is a wasteful number, since it uses less digits than its factorization.

21122000001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534197 (or 534186 counting only the distinct ones).

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

Adding to 21122000001201 its reverse (10210000022112), we get a palindrome (31332000023313).

The spelling of 21122000001201 in words is "twenty-one trillion, one hundred twenty-two billion, one thousand, two hundred one".

Divisors: 1 3 11 33 121 363 152423 381749 457269 1145247 1676653 4199239 5029959 12597717 18443183 46191629 55329549 138574887 58187327827 174561983481 640060606097 1920181818291 7040666667067 21122000001201