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12211222220010 = 2335114111522633
BaseRepresentation
bin1011000110110010010110…
…0100000000110011101010
31121020101022001221122002000
42301230211210000303222
53100032040342020020
641545431423151430
72400142320163062
oct261544544006352
947211261848060
1012211222220010
113988828662aa0
121452749745576
136a76899a0418
143030522983a2
151629966cc090
hexb1b25900cea

12211222220010 has 64 divisors (see below), whose sum is σ = 35523555557760. Its totient is φ = 2960296295040.

The previous prime is 12211222220009. The next prime is 12211222220017. The reversal of 12211222220010 is 1002222211221.

It is a happy number.

12211222220010 is a `hidden beast` number, since 1 + 2 + 211 + 222 + 220 + 0 + 10 = 666.

It is a super-2 number, since 2×122112222200102 (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 not an unprimeable number, because it can be changed into a prime (12211222220017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2055758347 + ... + 2055764286.

It is an arithmetic number, because the mean of its divisors is an integer number (555055555590).

Almost surely, 212211222220010 is an apocalyptic number.

12211222220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12211222220010 is an abundant number, since it is smaller than the sum of its proper divisors (23312333337750).

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

12211222220010 is a wasteful number, since it uses less digits than its factorization.

12211222220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111522660 (or 4111522654 counting only the distinct ones).

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

Adding to 12211222220010 its reverse (1002222211221), we get a palindrome (13213444431231).

The spelling of 12211222220010 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4111522633 8223045266 12334567899 20557613165 24669135798 37003703697 41115226330 45226748963 61672839495 74007407394 90453497926 111011111091 123345678990 135680246889 185018518485 222022222182 226133744815 271360493778 370037036970 407040740667 452267489630 555055555455 678401234445 814081481334 1110111110910 1221122222001 1356802468890 2035203703335 2442244444002 4070407406670 6105611110005 12211222220010