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1201020101120 = 2957331202481
BaseRepresentation
bin10001011110100010011…
…000000110001000000000
311020211001011012121122102
4101132202120012020000
5124134142121213440
62315424020525532
7152525253263540
oct21364230061000
94224034177572
101201020101120
1142339359a174
121749232508a8
1389342a42338
14421b5bc9320
152139453cb15
hex117a2606200

1201020101120 has 160 divisors (see below), whose sum is σ = 3300968474496. Its totient is φ = 410532249600.

The previous prime is 1201020101087. The next prime is 1201020101123. The reversal of 1201020101120 is 211010201021.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1201020101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5830280 + ... + 6032760.

Almost surely, 21201020101120 is an apocalyptic number.

1201020101120 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 1201020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650484237248).

1201020101120 is an abundant number, since it is smaller than the sum of its proper divisors (2099948373376).

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

1201020101120 is an equidigital number, since it uses as much as digits as its factorization.

1201020101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202842 (or 202826 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1201020101120 its reverse (211010201021), we get a palindrome (1412030302141).

Subtracting from 1201020101120 its reverse (211010201021), we obtain a palindrome (990009900099).

The spelling of 1201020101120 in words is "one trillion, two hundred one billion, twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 331 448 512 560 640 662 896 1120 1280 1324 1655 1792 2240 2317 2560 2648 3310 3584 4480 4634 5296 6620 8960 9268 10592 11585 13240 17920 18536 21184 23170 26480 37072 42368 46340 52960 74144 84736 92680 105920 148288 169472 185360 202481 211840 296576 370720 404962 423680 593152 741440 809924 847360 1012405 1186304 1417367 1482880 1619848 2024810 2834734 2965760 3239696 4049620 5669468 5931520 6479392 7086835 8099240 11338936 12958784 14173670 16198480 22677872 25917568 28347340 32396960 45355744 51835136 56694680 64793920 67021211 90711488 103670272 113389360 129587840 134042422 181422976 226778720 259175680 268084844 335106055 362845952 453557440 469148477 518351360 536169688 670212110 725691904 907114880 938296954 1072339376 1340424220 1814229760 1876593908 2144678752 2345742385 2680848440 3628459520 3753187816 4289357504 4691484770 5361696880 7506375632 8578715008 9382969540 10723393760 15012751264 17157430016 18765939080 21446787520 30025502528 34314860032 37531878160 42893575040 60051005056 75063756320 85787150080 120102010112 150127512640 171574300160 240204020224 300255025280 600510050560 1201020101120