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12202010222112 = 253243985304443
BaseRepresentation
bin1011000110010000000001…
…1111000001111000100000
31121012111112001221122121200
42301210000133001320200
53044404204104101422
641541305350121200
72366365121404254
oct261440037017040
947174461848550
1012202010222112
113984930734697
1214509b8650200
136a684c324aa9
1430281aa5a264
15162607ac62ac
hexb19007c1e20

12202010222112 has 72 divisors (see below), whose sum is σ = 35506430943984. Its totient is φ = 3972747510144.

The previous prime is 12202010222027. The next prime is 12202010222119. The reversal of 12202010222112 is 21122201020221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (12202010222119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492639838 + ... + 492664605.

It is an arithmetic number, because the mean of its divisors is an integer number (493144874222).

Almost surely, 212202010222112 is an apocalyptic number.

12202010222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12202010222112 is an abundant number, since it is smaller than the sum of its proper divisors (23304420721872).

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

12202010222112 is a wasteful number, since it uses less digits than its factorization.

12202010222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985304502 (or 985304491 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12202010222112 its reverse (21122201020221), we get a palindrome (33324211242333).

The spelling of 12202010222112 in words is "twelve trillion, two hundred two billion, ten million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 985304443 1970608886 2955913329 3941217772 5911826658 7882435544 8867739987 11823653316 15764871088 17735479974 23647306632 31529742176 35470959948 42368091049 47294613264 70941919896 84736182098 94589226528 127104273147 141883839792 169472364196 254208546294 283767679584 338944728392 381312819441 508417092588 677889456784 762625638882 1016834185176 1355778913568 1525251277764 2033668370352 3050502555528 4067336740704 6101005111056 12202010222112