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20111121011212 = 22711101733881983
BaseRepresentation
bin1001001001010011111000…
…01110010101001000001100
32122012121022121020202022121
410210221330032111020030
510114000033434324322
6110434531011022324
74143660220025410
oct444517416251014
978177277222277
1020111121011212
1164540955734a0
12230980589a9a4
13b2b616b0a08a
144d755228cd40
1524d20a5b4ec7
hex124a7c39520c

20111121011212 has 96 divisors (see below), whose sum is σ = 44373758091264. Its totient is φ = 7747329888000.

The previous prime is 20111121011197. The next prime is 20111121011221. The reversal of 20111121011212 is 21211012111102.

It is a super-2 number, since 2×201111210112122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22361173 + ... + 23243155.

It is an arithmetic number, because the mean of its divisors is an integer number (462226646784).

Almost surely, 220111121011212 is an apocalyptic number.

20111121011212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111121011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22186879045632).

20111121011212 is an abundant number, since it is smaller than the sum of its proper divisors (24262637080052).

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

20111121011212 is a wasteful number, since it uses less digits than its factorization.

20111121011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882839 (or 882837 counting only the distinct ones).

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

Adding to 20111121011212 its reverse (21211012111102), we get a palindrome (41322133122314).

The spelling of 20111121011212 in words is "twenty trillion, one hundred eleven billion, one hundred twenty-one million, eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 733 1111 1414 1466 2222 2828 2932 4444 5131 7777 8063 10262 15554 16126 20524 31108 32252 56441 74033 112882 148066 225764 296132 518231 814363 881983 1036462 1628726 1763966 2072924 3257452 3527932 5700541 6173881 9701813 11401082 12347762 19403626 22802164 24695524 38807252 67912691 89080283 135825382 178160566 271650764 356321132 623561981 646493539 979883113 1247123962 1292987078 1959766226 2494247924 2585974156 3919532452 4525454773 6859181791 7111428929 9050909546 13718363582 14222857858 18101819092 27436727164 28445715716 49780002503 65295847439 99560005006 130591694878 199120010012 261183389756 457070932073 718254321829 914141864146 1436508643658 1828283728292 2873017287316 5027780252803 10055560505606 20111121011212