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10122022120212 = 2234226971376429
BaseRepresentation
bin1001001101001011011110…
…0010000110101100010100
31022211122201010101012210000
42103102313202012230110
52311314400130321322
633305554234331300
72063202100301022
oct223226742065424
938748633335700
1010122022120212
1132527a8673a72
121175870889b30
1358566c263412
1426dca0c4b712
1512846c6ca3ac
hex934b7886b14

10122022120212 has 60 divisors (see below), whose sum is σ = 26462150294580. Its totient is φ = 3373856267904.

The previous prime is 10122022120169. The next prime is 10122022120219. The reversal of 10122022120212 is 21202122022101.

It is a happy number.

10122022120212 is a `hidden beast` number, since 10 + 1 + 220 + 221 + 2 + 0 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121463402256 + 10000558717956 = 348516^2 + 3162366^2 .

It is a super-2 number, since 2×101220221202122 (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 not an unprimeable number, because it can be changed into a prime (10122022120219) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6665614 + ... + 8042042.

It is an arithmetic number, because the mean of its divisors is an integer number (441035838243).

Almost surely, 210122022120212 is an apocalyptic number.

10122022120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122022120212 is an abundant number, since it is smaller than the sum of its proper divisors (16340128174368).

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

10122022120212 is a wasteful number, since it uses less digits than its factorization.

10122022120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399142 (or 1399131 counting only the distinct ones).

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

Adding to 10122022120212 its reverse (21202122022101), we get a palindrome (31324144142313).

The spelling of 10122022120212 in words is "ten trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 22697 45394 68091 90788 136182 204273 272364 408546 612819 817092 1225638 1376429 1838457 2451276 2752858 3676914 4129287 5505716 7353828 8258574 12387861 16517148 24775722 37163583 49551444 74327166 111490749 148654332 222981498 445962996 31240809013 62481618026 93722427039 124963236052 187444854078 281167281117 374889708156 562334562234 843501843351 1124669124468 1687003686702 2530505530053 3374007373404 5061011060106 10122022120212