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1022120012221 = 71110121301273
BaseRepresentation
bin11101101111110110001…
…10011010100110111101
310121201021022010110202221
432313323012122212331
5113221300210342341
62101315551045341
7133563041516410
oct16677306324675
93551238113687
101022120012221
1136452a111530
12146115b10851
1375501c4a179
1437684107b77
151b8c369ded1
hexedfb19a9bd

1022120012221 has 24 divisors (see below), whose sum is σ = 1287074498112. Its totient is φ = 788570832000.

The previous prime is 1022120012143. The next prime is 1022120012233. The reversal of 1022120012221 is 1222100212201.

It is a happy number.

It is not a de Polignac number, because 1022120012221 - 27 = 1022120012093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022120012195 and 1022120012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022120012321) 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, 134841 + ... + 1436113.

It is an arithmetic number, because the mean of its divisors is an integer number (53628104088).

Almost surely, 21022120012221 is an apocalyptic number.

1022120012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022120012221 is a deficient number, since it is larger than the sum of its proper divisors (264954485891).

1022120012221 is a wasteful number, since it uses less digits than its factorization.

1022120012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301493 (or 1301392 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1022120012221 its reverse (1222100212201), we get a palindrome (2244220224422).

The spelling of 1022120012221 in words is "one trillion, twenty-two billion, one hundred twenty million, twelve thousand, two hundred twenty-one".

Divisors: 1 7 11 77 101 707 1111 7777 10201 71407 112211 785477 1301273 9108911 14314003 100198021 131428573 920000011 1445714303 10120000121 13274285873 92920001111 146017144603 1022120012221