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1221110012010 = 235725691459907
BaseRepresentation
bin10001110001001111110…
…101000001100001101010
311022201220020220211110010
4101301033311001201222
5130001313130341020
62332545321232350
7154136146562400
oct21611765014152
94281806824403
101221110012010
11430962849609
121787ab3326b6
138b1c4c3a485
144315ddd7470
1521b6d118de0
hex11c4fd4186a

1221110012010 has 96 divisors (see below), whose sum is σ = 3415133586240. Its totient is φ = 278620140288.

The previous prime is 1221110012009. The next prime is 1221110012011. The reversal of 1221110012010 is 102100111221.

It is an interprime number because it is at equal distance from previous prime (1221110012009) and next prime (1221110012011).

It is a super-2 number, since 2×12211100120102 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221110012011) 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 47 ways as a sum of consecutive naturals, for example, 106477 + ... + 1566383.

It is an arithmetic number, because the mean of its divisors is an integer number (35574308190).

Almost surely, 21221110012010 is an apocalyptic number.

1221110012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221110012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707566793120).

1221110012010 is an abundant number, since it is smaller than the sum of its proper divisors (2194023574230).

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

1221110012010 is a wasteful number, since it uses less digits than its factorization.

1221110012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460500 (or 1460493 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1221110012010 its reverse (102100111221), we get a palindrome (1323210123231).

The spelling of 1221110012010 in words is "one trillion, two hundred twenty-one billion, one hundred ten million, twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 569 735 1138 1470 1707 2845 3414 3983 5690 7966 8535 11949 17070 19915 23898 27881 39830 55762 59745 83643 119490 139405 167286 278810 418215 836430 1459907 2919814 4379721 7299535 8759442 10219349 14599070 20438698 21898605 30658047 43797210 51096745 61316094 71535443 102193490 143070886 153290235 214606329 306580470 357677215 429212658 715354430 830687083 1073031645 1661374166 2146063290 2492061249 4153435415 4984122498 5814809581 8306870830 11629619162 12460306245 17444428743 24920612490 29074047905 34888857486 40703667067 58148095810 81407334134 87222143715 122111001201 174444287430 203518335335 244222002402 407036670670 610555006005 1221110012010