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122021220011112 = 23341911719157349
BaseRepresentation
bin11011101111101001000111…
…011110010100110001101000
3121000001010002121211010210000
4123233221013132110301220
5111443143424310323422
61111303435152223000
734462512403620642
oct3357510736246150
9530033077733700
10122021220011112
11359749aa678464
121182864383aa60
135311723048626
14221bc03c63892
15e190ba53dcac
hex6efa47794c68

122021220011112 has 160 divisors (see below), whose sum is σ = 343587758976000. Its totient is φ = 40457729404800.

The previous prime is 122021220011101. The next prime is 122021220011153. The reversal of 122021220011112 is 211110022120221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2127667014 + ... + 2127724362.

It is an arithmetic number, because the mean of its divisors is an integer number (2147423493600).

Almost surely, 2122021220011112 is an apocalyptic number.

122021220011112 is a gapful number since it is divisible by the number (12) 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 122021220011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171793879488000).

122021220011112 is an abundant number, since it is smaller than the sum of its proper divisors (221566538964888).

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

122021220011112 is a wasteful number, since it uses less digits than its factorization.

122021220011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74749 (or 74736 counting only the distinct ones).

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

Adding to 122021220011112 its reverse (211110022120221), we get a palindrome (333131242131333).

The spelling of 122021220011112 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 191 216 324 382 573 648 764 1146 1528 1719 2292 3438 4584 5157 6876 10314 13752 15471 17191 20628 30942 34382 41256 51573 57349 61884 68764 103146 114698 123768 137528 154719 172047 206292 229396 309438 344094 412584 458792 464157 516141 618876 688188 928314 1032282 1237752 1376376 1392471 1548423 1856628 2064564 2784942 3096846 3283481 3713256 4129128 4645269 5569884 6193692 6566962 9290538 9850443 10953659 11139768 12387384 13133924 18581076 19700886 21907318 26267848 29551329 32860977 37162152 39401772 43814636 59102658 65721954 78803544 87629272 88653987 98582931 118205316 131443908 177307974 197165862 236410632 262887816 265961961 295748793 354615948 394331724 531923922 591497586 709231896 788663448 887246379 985886659 1063847844 1182995172 1774492758 1971773318 2127695688 2365990344 2957659977 3548985516 3943546636 5915319954 7097971032 7887093272 8872979931 11830639908 17745959862 23661279816 26618939793 35491919724 53237879586 70983839448 79856819379 106475759172 159713638758 188304351869 212951518344 319427277516 376608703738 564913055607 638854555032 753217407476 1129826111214 1506434814952 1694739166821 2259652222428 3389478333642 4519304444856 5084217500463 6778956667284 10168435000926 13557913334568 15252652501389 20336870001852 30505305002778 40673740003704 61010610005556 122021220011112