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1011220120120 = 235713726361317
BaseRepresentation
bin11101011011100010110…
…10101000001000111000
310120200010200001120202111
432231301122220020320
5113031434322320440
62052314220342104
7133025656125340
oct16556132501070
93520120046674
101011220120120
1135a946439241
12143b936a4934
13744859a3482
1436d2c655d20
151b4867d64ea
hexeb716a8238

1011220120120 has 64 divisors (see below), whose sum is σ = 2619260556480. Its totient is φ = 344173341696.

The previous prime is 1011220120111. The next prime is 1011220120121. The reversal of 1011220120120 is 210210221101.

It is a super-2 number, since 2×10112201201202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1011220120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011220120121) 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, 13142299 + ... + 13219018.

It is an arithmetic number, because the mean of its divisors is an integer number (40925946195).

Almost surely, 21011220120120 is an apocalyptic number.

1011220120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011220120120 is an abundant number, since it is smaller than the sum of its proper divisors (1608040436360).

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

1011220120120 is a wasteful number, since it uses less digits than its factorization.

1011220120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26361472 (or 26361468 counting only the distinct ones).

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

Adding to 1011220120120 its reverse (210210221101), we get a palindrome (1221430341221).

The spelling of 1011220120120 in words is "one trillion, eleven billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 274 280 548 685 959 1096 1370 1918 2740 3836 4795 5480 7672 9590 19180 38360 26361317 52722634 105445268 131806585 184529219 210890536 263613170 369058438 527226340 738116876 922646095 1054452680 1476233752 1845292190 3611500429 3690584380 7223000858 7381168760 14446001716 18057502145 25280503003 28892003432 36115004290 50561006006 72230008580 101122012012 126402515015 144460017160 202244024024 252805030030 505610060060 1011220120120