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122212012010112 = 2732677156701353
BaseRepresentation
bin11011110010011010110011…
…100100000010101010000000
3121000201100120020121220112100
4123302122303210002222000
5112004310200033310422
61111531231231030400
734512345405063663
oct3362326344025200
9530640506556470
10122212012010112
1135a389067a0182
121185960b66b400
13532670a78b4ab
1422271430676da
15e1e0353eb7ac
hex6f26b3902a80

122212012010112 has 96 divisors (see below), whose sum is σ = 352197262209780. Its totient is φ = 40677163757568.

The previous prime is 122212012010107. The next prime is 122212012010219. The reversal of 122212012010112 is 211010210212221.

It can be written as a sum of positive squares in 2 ways, for example, as 118591577280576 + 3620434729536 = 10889976^2 + 1902744^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 77570773 + ... + 79130580.

Almost surely, 2122212012010112 is an apocalyptic number.

122212012010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122212012010112 is an abundant number, since it is smaller than the sum of its proper divisors (229985250199668).

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

122212012010112 is a wasteful number, since it uses less digits than its factorization.

122212012010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156702050 (or 156702035 counting only the distinct ones).

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

Adding to 122212012010112 its reverse (211010210212221), we get a palindrome (333222222222333).

The spelling of 122212012010112 in words is "one hundred twenty-two trillion, two hundred twelve billion, twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 677 1152 1354 2031 2708 4062 5416 6093 8124 10832 12186 16248 21664 24372 32496 43328 48744 64992 86656 97488 129984 194976 259968 389952 779904 156701353 313402706 470104059 626805412 940208118 1253610824 1410312177 1880416236 2507221648 2820624354 3760832472 5014443296 5641248708 7521664944 10028886592 11282497416 15043329888 20057773184 22564994832 30086659776 45129989664 60173319552 90259979328 106086815981 180519958656 212173631962 318260447943 424347263924 636520895886 848694527848 954781343829 1273041791772 1697389055696 1909562687658 2546083583544 3394778111392 3819125375316 5092167167088 6789556222784 7638250750632 10184334334176 13579112445568 15276501501264 20368668668352 30553003002528 40737337336704 61106006005056 122212012010112