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122213123120 = 24511451330773
BaseRepresentation
bin111000111010001111…
…0000100010000110000
3102200110020112220200102
41301310132010100300
54000243024414440
6132051031211532
711554361256254
oct1616436042060
9380406486612
10122213123120
11479151382a0
121b828b16ba8
13b6a8861c8a
145cb523c264
1532a4415b15
hex1c74784430

122213123120 has 80 divisors (see below), whose sum is σ = 310055681952. Its totient is φ = 44429844480.

The previous prime is 122213123113. The next prime is 122213123159. The reversal of 122213123120 is 21321312221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122213123092 and 122213123101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3956054 + ... + 3986826.

Almost surely, 2122213123120 is an apocalyptic number.

122213123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122213123120 is an abundant number, since it is smaller than the sum of its proper divisors (187842558832).

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

122213123120 is a wasteful number, since it uses less digits than its factorization.

122213123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35310 (or 35304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122213123120 its reverse (21321312221), we get a palindrome (143534435341).

The spelling of 122213123120 in words is "one hundred twenty-two billion, two hundred thirteen million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4513 9026 18052 22565 30773 36104 45130 49643 61546 72208 90260 99286 123092 153865 180520 198572 246184 248215 307730 338503 361040 397144 492368 496430 615460 677006 794288 992860 1230920 1354012 1692515 1985720 2461840 2708024 3385030 3971440 5416048 6770060 13540120 27080240 138878549 277757098 555514196 694392745 1111028392 1388785490 1527664039 2222056784 2777570980 3055328078 5555141960 6110656156 7638320195 11110283920 12221312312 15276640390 24442624624 30553280780 61106561560 122213123120