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11220101020120 = 23517126257130687
BaseRepresentation
bin1010001101000110001000…
…1000101011100111011000
31110201122001010112222121111
42203101202020223213120
52432312231330120440
635510235424150104
72235424364035456
oct243214210534730
943648033488544
1011220101020120
113636466578033
121312645168334
1363508802aa75
142ab0ad1179d6
15146cd96a14ea
hexa346222b9d8

11220101020120 has 64 divisors (see below), whose sum is σ = 26730656916480. Its totient is φ = 4223972253696.

The previous prime is 11220101020039. The next prime is 11220101020123. The reversal of 11220101020120 is 2102010102211.

It is a self number, because there is not a number n which added to its sum of digits gives 11220101020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220101020123) 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 15 ways as a sum of consecutive naturals, for example, 85789417 + ... + 85920103.

It is an arithmetic number, because the mean of its divisors is an integer number (417666514320).

Almost surely, 211220101020120 is an apocalyptic number.

11220101020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220101020120 is an abundant number, since it is smaller than the sum of its proper divisors (15510555896360).

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

11220101020120 is a wasteful number, since it uses less digits than its factorization.

11220101020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256972 (or 256968 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11220101020120 its reverse (2102010102211), we get a palindrome (13322111122331).

The spelling of 11220101020120 in words is "eleven trillion, two hundred twenty billion, one hundred one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 126257 130687 252514 261374 505028 522748 631285 653435 1010056 1045496 1262570 1306870 2146369 2221679 2525140 2613740 4292738 4443358 5050280 5227480 8585476 8886716 10731845 11108395 17170952 17773432 21463690 22216790 42927380 44433580 85854760 88867160 16500148559 33000297118 66000594236 82500742795 132001188472 165001485590 280502525503 330002971180 561005051006 660005942360 1122010102012 1402512627515 2244020204024 2805025255030 5610050510060 11220101020120