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1120320201220 = 22511101157321143
BaseRepresentation
bin10000010011011000010…
…010011010001000000100
310222002202001002221110221
4100103120102122020010
5121323403432414340
62214400141554124
7143640402405463
oct20233022321004
93862661087427
101120320201220
113a2141601a20
12161160b75944
138185190488c
143c31c1009da
151e21e8bb44a
hex104d849a204

1120320201220 has 96 divisors (see below), whose sum is σ = 2608480578816. Its totient is φ = 400785216000.

The previous prime is 1120320201197. The next prime is 1120320201239. The reversal of 1120320201220 is 221020230211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120320201194 and 1120320201203.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3327969 + ... + 3649111.

It is an arithmetic number, because the mean of its divisors is an integer number (27171672696).

Almost surely, 21120320201220 is an apocalyptic number.

1120320201220 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 1120320201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304240289408).

1120320201220 is an abundant number, since it is smaller than the sum of its proper divisors (1488160377596).

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

1120320201220 is a wasteful number, since it uses less digits than its factorization.

1120320201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321421 (or 321419 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1120320201220 its reverse (221020230211), we get a palindrome (1341340431431).

The spelling of 1120320201220 in words is "one trillion, one hundred twenty billion, three hundred twenty million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 157 202 220 314 404 505 628 785 1010 1111 1570 1727 2020 2222 3140 3454 4444 5555 6908 8635 11110 15857 17270 22220 31714 34540 63428 79285 158570 174427 317140 321143 348854 642286 697708 872135 1284572 1605715 1744270 3211430 3488540 3532573 6422860 7065146 14130292 17662865 32435443 35325730 50419451 64870886 70651460 100838902 129741772 162177215 201677804 252097255 324354430 356789873 504194510 554613961 648708860 713579746 1008389020 1109227922 1427159492 1783949365 2218455844 2773069805 3567898730 5092364551 5546139610 7135797460 10184729102 11092279220 20369458204 25461822755 50923645510 56016010061 101847291020 112032020122 224064040244 280080050305 560160100610 1120320201220