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122220201120 = 25351060124019
BaseRepresentation
bin111000111010011100…
…1000100010010100000
3102200110201212111212120
41301310321010102200
54000301332413440
6132051443024240
711554505365653
oct1616471042240
9380421774776
10122220201120
1147919132086
121b82b36b080
13b6aa16c844
145cb616189a
1532a4d62dd0
hex1c74e444a0

122220201120 has 96 divisors (see below), whose sum is σ = 385045980480. Its totient is φ = 32587622400.

The previous prime is 122220201119. The next prime is 122220201121. The reversal of 122220201120 is 21102022221.

It is an interprime number because it is at equal distance from previous prime (122220201119) and next prime (122220201121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122220201120.

It is not an unprimeable number, because it can be changed into a prime (122220201121) 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, 5076471 + ... + 5100489.

It is an arithmetic number, because the mean of its divisors is an integer number (4010895630).

Almost surely, 2122220201120 is an apocalyptic number.

122220201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220201120 is an abundant number, since it is smaller than the sum of its proper divisors (262825779360).

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

122220201120 is a wasteful number, since it uses less digits than its factorization.

122220201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34638 (or 34630 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122220201120 its reverse (21102022221), we get a palindrome (143322223341).

The spelling of 122220201120 in words is "one hundred twenty-two billion, two hundred twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 10601 21202 24019 31803 42404 48038 53005 63606 72057 84808 96076 106010 120095 127212 144114 159015 169616 192152 212020 240190 254424 288228 318030 339232 360285 384304 424040 480380 508848 576456 636060 720570 768608 848080 960760 1017696 1152912 1272120 1441140 1696160 1921520 2305824 2544240 2882280 3843040 5088480 5764560 11529120 254625419 509250838 763876257 1018501676 1273127095 1527752514 2037003352 2546254190 3055505028 3819381285 4074006704 5092508380 6111010056 7638762570 8148013408 10185016760 12222020112 15277525140 20370033520 24444040224 30555050280 40740067040 61110100560 122220201120