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20221221122001 = 3226327533103151
BaseRepresentation
bin1001001100100000111101…
…01100111010111111010001
32122121010111200000212212200
410212100132230322333101
510122301030101401001
6111001300054313413
74154635465362144
oct446203654727721
978533450025780
1020221221122001
116496854180299
122327012058869
13b38b11c89023
144dc9d889205b
15251001385086
hex12641eb3afd1

20221221122001 has 24 divisors (see below), whose sum is σ = 29330148646656. Its totient is φ = 13424673753600.

The previous prime is 20221221121999. The next prime is 20221221122017. The reversal of 20221221122001 is 10022112212202.

It is a happy number.

20221221122001 is a `hidden beast` number, since 2 + 0 + 221 + 221 + 1 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 20221221122001 - 21 = 20221221121999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20221221122801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4964776 + ... + 8067926.

It is an arithmetic number, because the mean of its divisors is an integer number (1222089526944).

Almost surely, 220221221122001 is an apocalyptic number.

It is an amenable number.

20221221122001 is a deficient number, since it is larger than the sum of its proper divisors (9108927524655).

20221221122001 is a wasteful number, since it uses less digits than its factorization.

20221221122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106173 (or 3106170 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20221221122001 its reverse (10022112212202), we get a palindrome (30243333334203).

The spelling of 20221221122001 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 263 789 2367 2753 8259 24777 724039 2172117 3103151 6516351 9309453 27928359 816128713 2448386139 7345158417 8542974703 25628924109 76886772327 2246802346889 6740407040667 20221221122001