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122001112020 = 223517333135509
BaseRepresentation
bin111000110011111010…
…1010011101111010100
3102122220110121122010110
41301213311103233110
53444324241041040
6132014015123020
711546205225144
oct1614765235724
9378813548113
10122001112020
11478164a1207
121b789b13470
13b673960918
145c95010924
1532909d7980
hex1c67d53bd4

122001112020 has 96 divisors (see below), whose sum is σ = 344625402240. Its totient is φ = 32246945280.

The previous prime is 122001112007. The next prime is 122001112043. The reversal of 122001112020 is 20211100221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122001111987 and 122001112005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3418026 + ... + 3453534.

It is an arithmetic number, because the mean of its divisors is an integer number (3589847940).

Almost surely, 2122001112020 is an apocalyptic number.

122001112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001112020 is an abundant number, since it is smaller than the sum of its proper divisors (222624290220).

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

122001112020 is a wasteful number, since it uses less digits than its factorization.

122001112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36025 (or 36023 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122001112020 its reverse (20211100221), we get a palindrome (142212212241).

The spelling of 122001112020 in words is "one hundred twenty-two billion, one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 331 346 519 662 692 865 993 1038 1324 1655 1730 1986 2076 2595 3310 3460 3972 4965 5190 6620 9930 10380 19860 35509 57263 71018 106527 114526 142036 171789 177545 213054 229052 286315 343578 355090 426108 532635 572630 687156 710180 858945 1065270 1145260 1717890 2130540 3435780 6143057 11753479 12286114 18429171 23506958 24572228 30715285 35260437 36858342 47013916 58767395 61430570 70520874 73716684 92145855 117534790 122861140 141041748 176302185 184291710 235069580 352604370 368583420 705208740 2033351867 4066703734 6100055601 8133407468 10166759335 12200111202 20333518670 24400222404 30500278005 40667037340 61000556010 122001112020