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12202211011120 = 24513113103830931
BaseRepresentation
bin1011000110010000110001…
…1100111110101000110000
31121012112001001202210100121
42301210030130332220300
53044410112004323440
641541341321500024
72366403110156044
oct261441434765060
947175031683317
1012202211011120
113984a24006419
121450a53941614
136a6881ac7260
143028395a6024
1516261a53934a
hexb190c73ea30

12202211011120 has 80 divisors (see below), whose sum is σ = 30822835149792. Its totient is φ = 4465560637440.

The previous prime is 12202211011103. The next prime is 12202211011183. The reversal of 12202211011120 is 2111011220221.

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

It is a super-3 number, since 3×122022110111203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12202211011094 and 12202211011103.

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, 51797946 + ... + 52032985.

Almost surely, 212202211011120 is an apocalyptic number.

12202211011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202211011120 is an abundant number, since it is smaller than the sum of its proper divisors (18620624138672).

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

12202211011120 is a wasteful number, since it uses less digits than its factorization.

12202211011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103831070 (or 103831064 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12202211011120 its reverse (2111011220221), we get a palindrome (14313222231341).

The spelling of 12202211011120 in words is "twelve trillion, two hundred two billion, two hundred eleven million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 113 130 208 226 260 452 520 565 904 1040 1130 1469 1808 2260 2938 4520 5876 7345 9040 11752 14690 23504 29380 58760 117520 103830931 207661862 415323724 519154655 830647448 1038309310 1349802103 1661294896 2076618620 2699604206 4153237240 5399208412 6749010515 8306474480 10798416824 11732895203 13498021030 21596833648 23465790406 26996042060 46931580812 53992084120 58664476015 93863161624 107984168240 117328952030 152527637639 187726323248 234657904060 305055275278 469315808120 610110550556 762638188195 938631616240 1220221101112 1525276376390 2440442202224 3050552752780 6101105505560 12202211011120