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1221110211012 = 2233743462113841
BaseRepresentation
bin10001110001001111110…
…101110010000111000100
311022201220021021221102120
4101301033311302013010
5130001313203223022
62332545325405540
7154136151351516
oct21611765620704
94281807257376
101221110211012
1143096297507a
121787ab4098b0
138b1c4ca9c23
1443160049bb6
1521b6d157d5c
hex11c4fd721c4

1221110211012 has 96 divisors (see below), whose sum is σ = 2995181126784. Its totient is φ = 386713958400.

The previous prime is 1221110210963. The next prime is 1221110211017. The reversal of 1221110211012 is 2101120111221.

It is a happy number.

It is a super-2 number, since 2×12211102110122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221110210982 and 1221110211000.

It is not an unprimeable number, because it can be changed into a prime (1221110211017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88217212 + ... + 88231052.

It is an arithmetic number, because the mean of its divisors is an integer number (31199803404).

Almost surely, 21221110211012 is an apocalyptic number.

1221110211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221110211012 is an abundant number, since it is smaller than the sum of its proper divisors (1774070915772).

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

1221110211012 is a wasteful number, since it uses less digits than its factorization.

1221110211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18549 (or 18547 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1221110211012 its reverse (2101120111221), we get a palindrome (3322230322233).

The spelling of 1221110211012 in words is "one trillion, two hundred twenty-one billion, one hundred ten million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 37 43 74 86 111 129 148 172 222 258 444 516 1591 3182 4621 4773 6364 9242 9546 13841 13863 18484 19092 27682 27726 41523 55364 55452 83046 166092 170977 198703 341954 397406 512117 512931 595163 596109 683908 794812 1024234 1025862 1190326 1192218 1536351 1785489 2048468 2051724 2380652 2384436 3072702 3570978 6145404 7141956 7352011 14704022 22021031 22056033 29408044 44042062 44112066 63959261 66063093 88084124 88224132 127918522 132126186 191877783 255837044 264252372 383755566 767511132 2366492657 2750248223 4732985314 5500496446 7099477971 8250744669 9465970628 11000992892 14198955942 16501489338 28397911884 33002978676 101759184251 203518368502 305277552753 407036737004 610555105506 1221110211012