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1220101222212 = 223986317957
BaseRepresentation
bin10001110000010011101…
…100110010111101000100
311022122021221201000000000
4101300103230302331010
5124442231403102322
62332301243321300
7154102150162305
oct21602354627504
94278257630000
101220101222212
11430495371934
12178569520230
138b093c43532
14430a603c7ac
1521b0e79d3ac
hex11c13b32f44

1220101222212 has 120 divisors (see below), whose sum is σ = 3206601167616. Its totient is φ = 406206521568.

The previous prime is 1220101222187. The next prime is 1220101222217. The reversal of 1220101222212 is 2122221010221.

It is a happy number.

1220101222212 is a `hidden beast` number, since 1 + 220 + 10 + 1 + 222 + 212 = 666.

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 (1220101222217) 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 39 ways as a sum of consecutive naturals, for example, 67936738 + ... + 67954694.

Almost surely, 21220101222212 is an apocalyptic number.

1220101222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220101222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603300583808).

1220101222212 is an abundant number, since it is smaller than the sum of its proper divisors (1986499945404).

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

1220101222212 is an frugal number, since it uses more digits than its factorization.

1220101222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18851 (or 18825 counting only the distinct ones).

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

Adding to 1220101222212 its reverse (2122221010221), we get a palindrome (3342322232433).

The spelling of 1220101222212 in words is "one trillion, two hundred twenty billion, one hundred one million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 863 972 1458 1726 2187 2589 2916 3452 4374 5178 6561 7767 8748 10356 13122 15534 17957 19683 23301 26244 31068 35914 39366 46602 53871 69903 71828 78732 93204 107742 139806 161613 209709 215484 279612 323226 419418 484839 629127 646452 838836 969678 1258254 1454517 1887381 1939356 2516508 2909034 3774762 4363551 5662143 5818068 7549524 8727102 11324286 13090653 15496891 16986429 17454204 22648572 26181306 30993782 33972858 39271959 46490673 52362612 61987564 67945716 78543918 92981346 117815877 139472019 157087836 185962692 235631754 278944038 353447631 418416057 471263508 557888076 706895262 836832114 1255248171 1413790524 1673664228 2510496342 3765744513 5020992684 7531489026 11297233539 15062978052 22594467078 33891700617 45188934156 67783401234 101675101851 135566802468 203350203702 305025305553 406700407404 610050611106 1220101222212