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10222012120212 = 22321267122409027
BaseRepresentation
bin1001010010111111111101…
…1001101011110010010100
31100012012210121012111121100
42110233333121223302110
52314434140100321322
633423532203150100
72103341663260014
oct224577731536224
940165717174540
1010222012120212
113291149399a02
121191117215330
13591c159812a9
14274a68827c44
1512ad70adbdac
hex94bff66bc94

10222012120212 has 36 divisors (see below), whose sum is σ = 25841015456256. Its totient is φ = 3407068313040.

The previous prime is 10222012120207. The next prime is 10222012120223. The reversal of 10222012120212 is 21202121022201.

It is a happy number.

10222012120212 is a `hidden beast` number, since 102 + 220 + 12 + 120 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×102220121202122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 10748358 + ... + 11660669.

It is an arithmetic number, because the mean of its divisors is an integer number (717805984896).

Almost surely, 210222012120212 is an apocalyptic number.

10222012120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222012120212 is an abundant number, since it is smaller than the sum of its proper divisors (15619003336044).

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

10222012120212 is a wasteful number, since it uses less digits than its factorization.

10222012120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22421708 (or 22421703 counting only the distinct ones).

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

Adding to 10222012120212 its reverse (21202121022201), we get a palindrome (31424133142413).

It can be divided in two parts, 1022201 and 2120212, that added together give a palindrome (3142413).

The spelling of 10222012120212 in words is "ten trillion, two hundred twenty-two billion, twelve million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 12671 25342 38013 50684 76026 114039 152052 228078 456156 22409027 44818054 67227081 89636108 134454162 201681243 268908324 403362486 806724972 283944781117 567889562234 851834343351 1135779124468 1703668686702 2555503030053 3407337373404 5111006060106 10222012120212