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1121121220120 = 2351171103348421
BaseRepresentation
bin10000010100001000000…
…010000011011000011000
310222011210212100220211121
4100110020002003120120
5121332024013020440
62215011434335024
7143666300064526
oct20241002033030
93864725326747
101121121220120
113a2512779310
1216134528a474
138194b853465
143c396653316
151e269d9534a
hex10508083618

1121121220120 has 128 divisors (see below), whose sum is σ = 2817702650880. Its totient is φ = 398035008000.

The previous prime is 1121121220117. The next prime is 1121121220147. The reversal of 1121121220120 is 210221211211.

It is a junction number, because it is equal to n+sod(n) for n = 1121121220094 and 1121121220103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3043510 + ... + 3391930.

It is an arithmetic number, because the mean of its divisors is an integer number (22013301960).

Almost surely, 21121121220120 is an apocalyptic number.

1121121220120 is a gapful number since it is divisible by the number (10) 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 1121121220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408851325440).

1121121220120 is an abundant number, since it is smaller than the sum of its proper divisors (1696581430760).

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

1121121220120 is a wasteful number, since it uses less digits than its factorization.

1121121220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348617 (or 348613 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1121121220120 its reverse (210221211211), we get a palindrome (1331342431331).

The spelling of 1121121220120 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 103 110 142 206 220 284 355 412 440 515 568 710 781 824 1030 1133 1420 1562 2060 2266 2840 3124 3905 4120 4532 5665 6248 7313 7810 9064 11330 14626 15620 22660 29252 31240 36565 45320 58504 73130 80443 146260 160886 292520 321772 348421 402215 643544 696842 804430 1393684 1608860 1742105 2787368 3217720 3484210 3832631 6968420 7665262 13936840 15330524 19163155 24737891 30661048 35887363 38326310 49475782 71774726 76652620 98951564 123689455 143549452 153305240 179436815 197903128 247378910 272116801 287098904 358873630 394760993 494757820 544233602 717747260 789521986 989515640 1088467204 1360584005 1435494520 1579043972 1973804965 2176934408 2548002773 2721168010 3158087944 3947609930 5096005546 5442336020 7895219860 10192011092 10884672040 12740013865 15790439720 20384022184 25480027730 28028030503 50960055460 56056061006 101920110920 112112122012 140140152515 224224244024 280280305030 560560610060 1121121220120