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1121022211221 = 3211172190120611
BaseRepresentation
bin10000010100000010001…
…000010111010010010101
310222011112222001202011100
4100110002020113102111
5121331323141224341
62214553540300313
7143663655401043
oct20240210272225
93864488052140
101121022211221
113a24718a4480
121613180a1699
1381934198b03
143c38743d393
151e2613393b6
hex10502217495

1121022211221 has 72 divisors (see below), whose sum is σ = 1877559117408. Its totient is φ = 639074880000.

The previous prime is 1121022211219. The next prime is 1121022211301. The reversal of 1121022211221 is 1221122201211.

1121022211221 is a `hidden beast` number, since 1 + 1 + 210 + 22 + 211 + 221 = 666.

It is not a de Polignac number, because 1121022211221 - 21 = 1121022211219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1121022211194 and 1121022211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121022219221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54379206 + ... + 54399816.

It is an arithmetic number, because the mean of its divisors is an integer number (26077209964).

Almost surely, 21121022211221 is an apocalyptic number.

1121022211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121022211221 is a deficient number, since it is larger than the sum of its proper divisors (756536906187).

1121022211221 is a wasteful number, since it uses less digits than its factorization.

1121022211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22563 (or 22543 counting only the distinct ones).

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

Adding to 1121022211221 its reverse (1221122201211), we get a palindrome (2342144412432).

The spelling of 1121022211221 in words is "one trillion, one hundred twenty-one billion, twenty-two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 289 561 867 1683 1901 2601 3179 5703 9537 17109 20611 20911 28611 32317 61833 62733 96951 185499 188199 226721 290853 350387 355487 549389 680163 1051161 1066461 1648167 2040489 3153483 3199383 3854257 4944501 5956579 6043279 11562771 17869737 18129837 34688313 39181511 53609211 54389511 65522369 117544533 196567107 352633599 430996621 589701321 666085687 1292989863 1998257061 3878969589 5994771183 7326942557 11323456679 21980827671 33970370037 65942483013 101911110111 124558023469 373674070407 1121022211221