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1221002011218 = 23112315716973019
BaseRepresentation
bin10001110001001001011…
…001000010001001010010
311022201121201200211012210
4101301021121002021102
5130001103003324333
62332530502332550
7154133365565313
oct21611131021122
94281551624183
101221002011218
11430907892a60
1217877b12a156
138b1a8755092
144314d92260a
1521b638d3a63
hex11c49642252

1221002011218 has 128 divisors (see below), whose sum is σ = 2800112302080. Its totient is φ = 351335761920.

The previous prime is 1221002011211. The next prime is 1221002011249. The reversal of 1221002011218 is 8121102001221.

It is a super-2 number, since 2×12210020112182 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221002011194 and 1221002011203.

It is not an unprimeable number, because it can be changed into a prime (1221002011211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404437713 + ... + 404440731.

It is an arithmetic number, because the mean of its divisors is an integer number (21875877360).

Almost surely, 21221002011218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221002011218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400056151040).

1221002011218 is an abundant number, since it is smaller than the sum of its proper divisors (1579110290862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1221002011218 is a wasteful number, since it uses less digits than its factorization.

1221002011218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 1221002011218 its reverse (8121102001221), we get a palindrome (9342104012439).

The spelling of 1221002011218 in words is "one trillion, two hundred twenty-one billion, two million, eleven thousand, two hundred eighteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 157 253 314 471 506 759 942 1518 1697 1727 3019 3394 3454 3611 5091 5181 6038 7222 9057 10182 10362 10833 18114 18667 21666 33209 37334 39031 39721 56001 66418 69437 78062 79442 99627 112002 117093 119163 138874 199254 208311 234186 238326 266429 416622 429341 473983 532858 763807 799287 858682 947966 1288023 1421949 1527614 1598574 2291421 2576046 2843898 2930719 4582842 5123243 5213813 5861438 6127867 8792157 10246486 10427626 10901609 12255734 15369729 15641439 17584314 18383601 21803218 30739458 31282878 32704827 36767202 56355673 65409654 67406537 112711346 117834589 119917699 134813074 169067019 202219611 235669178 239835398 338134038 353503767 359753097 404439222 707007534 719506194 804349151 1296180479 1608698302 2413047453 2592360958 3888541437 4826094906 7777082874 8847840661 17695681322 18500030473 26543521983 37000060946 53087043966 55500091419 111000182838 203500335203 407000670406 610501005609 1221002011218