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11220120202212 = 22322921249296713
BaseRepresentation
bin1010001101000110001101…
…0001110110101111100100
31110201122002110122112111100
42203101203101312233210
52432312301232432322
635510241351240100
72235425016060105
oct243214321665744
943648073575440
1011220120202212
1136364763898a9
12131264b679030
1363508bcb5b0c
142ab0b18ac3ac
15146cdb1dedac
hexa3463476be4

11220120202212 has 108 divisors (see below), whose sum is σ = 29397310442500. Its totient is φ = 3608169836544.

The previous prime is 11220120202211. The next prime is 11220120202217. The reversal of 11220120202212 is 21220202102211.

It is a happy number.

11220120202212 is a `hidden beast` number, since 11 + 220 + 1 + 20 + 202 + 212 = 666.

11220120202212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 267303476196 + 10952816726016 = 517014^2 + 3309504^2 .

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 (11220120202211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37666368 + ... + 37963080.

Almost surely, 211220120202212 is an apocalyptic number.

11220120202212 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 11220120202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14698655221250).

11220120202212 is an abundant number, since it is smaller than the sum of its proper divisors (18177190240288).

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

11220120202212 is a wasteful number, since it uses less digits than its factorization.

11220120202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298030 (or 297996 counting only the distinct ones).

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

Adding to 11220120202212 its reverse (21220202102211), we get a palindrome (32440322304423).

The spelling of 11220120202212 in words is "eleven trillion, two hundred twenty billion, one hundred twenty million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1249 1682 2498 2523 3364 3747 4996 5046 7494 7569 10092 11241 14988 15138 22482 30276 36221 44964 72442 108663 144884 217326 296713 325989 434652 593426 651978 890139 1050409 1186852 1303956 1780278 2100818 2670417 3151227 3560556 4201636 5340834 6302454 8604677 9453681 10681668 12604908 17209354 18907362 25814031 34418708 37814724 51628062 77442093 103256124 154884186 249535633 309768372 370594537 499071266 741189074 748606899 998142532 1111783611 1482378148 1497213798 2223567222 2245820697 2994427596 3335350833 4447134444 4491641394 6670701666 8983282788 10747241573 13341403332 21494483146 32241724719 42988966292 64483449438 96725174157 128966898876 193450348314 311670005617 386900696628 623340011234 935010016851 1246680022468 1870020033702 2805030050553 3740040067404 5610060101106 11220120202212