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212022111012201 = 3273798879763413
BaseRepresentation
bin110000001101010100111110…
…100111001000010101101001
31000210201010010110110221221200
4300031110332213020111221
5210242232240404342301
62030533340235154413
762442043363664460
oct6015247647102551
91023633113427850
10212022111012201
1161614088296956
121b94337bba5a09
13913c7a37cb729
143a4dcd3ddd9d7
15197a2ad21ac86
hexc0d53e9c8569

212022111012201 has 24 divisors (see below), whose sum is σ = 350928250121280. Its totient is φ = 120835820510496.

The previous prime is 212022111012163. The next prime is 212022111012317. The reversal of 212022111012201 is 102210111220212.

212022111012201 is a `hidden beast` number, since 2 + 120 + 221 + 1 + 101 + 220 + 1 = 666.

It is not a de Polignac number, because 212022111012201 - 213 = 212022111004009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212022111011201) 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, 4439857830 + ... + 4439905583.

It is an arithmetic number, because the mean of its divisors is an integer number (14622010421720).

Almost surely, 2212022111012201 is an apocalyptic number.

212022111012201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212022111012201 is a deficient number, since it is larger than the sum of its proper divisors (138906139109079).

212022111012201 is a wasteful number, since it uses less digits than its factorization.

212022111012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879763805 (or 8879763802 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212022111012201 its reverse (102210111220212), we get a palindrome (314232222232413).

The spelling of 212022111012201 in words is "two hundred twelve trillion, twenty-two billion, one hundred eleven million, twelve thousand, two hundred one".

Divisors: 1 3 7 9 21 63 379 1137 2653 3411 7959 23877 8879763413 26639290239 62158343891 79917870717 186475031673 559425095019 3365430333527 10096291000581 23558012334689 30288873001743 70674037004067 212022111012201