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220201121020120 = 2357179981463367
BaseRepresentation
bin110010000100010110010001…
…100110001111100011011000
31001212200000120201202222020021
4302010112101212033203120
5212330233343440120440
62100154555401040224
764245002024654602
oct6204262146174330
91055600521688207
10220201121020120
1164187853203599
1220844551a86074
1395b3b51bc22a6
143c53b10bb4172
151a6ce0a9d384a
hexc8459198f8d8

220201121020120 has 64 divisors (see below), whose sum is σ = 508790609971200. Its totient is φ = 85740639653760.

The previous prime is 220201121020103. The next prime is 220201121020129. The reversal of 220201121020120 is 21020121102022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220201121020094 and 220201121020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201121020129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490507324 + ... + 490956043.

It is an arithmetic number, because the mean of its divisors is an integer number (7949853280800).

Almost surely, 2220201121020120 is an apocalyptic number.

220201121020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201121020120 is an abundant number, since it is smaller than the sum of its proper divisors (288589488951080).

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

220201121020120 is a wasteful number, since it uses less digits than its factorization.

220201121020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981463528 (or 981463524 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220201121020120 its reverse (21020121102022), we get a palindrome (241221242122142).

The spelling of 220201121020120 in words is "two hundred twenty trillion, two hundred one billion, one hundred twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 79 142 158 284 316 355 395 568 632 710 790 1420 1580 2840 3160 5609 11218 22436 28045 44872 56090 112180 224360 981463367 1962926734 3925853468 4907316835 7851706936 9814633670 19629267340 39258534680 69683899057 77535605993 139367798114 155071211986 278735596228 310142423972 348419495285 387678029965 557471192456 620284847944 696838990570 775356059930 1393677981140 1550712119860 2787355962280 3101424239720 5505028025503 11010056051006 22020112102012 27525140127515 44040224204024 55050280255030 110100560510060 220201121020120