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20012211120 = 2435117580383
BaseRepresentation
bin10010101000110100…
…100001101110110000
31220122200111122202110
4102220310201232300
5311441111223440
613105443045320
71305630662556
oct225064415660
956580448673
1020012211120
11853a40a460
123a66070840
131b6c091a55
14d7bb83bd6
157c1d7e080
hex4a8d21bb0

20012211120 has 80 divisors (see below), whose sum is σ = 67677668352. Its totient is φ = 4851444480.

The previous prime is 20012211097. The next prime is 20012211143. The reversal of 20012211120 is 2111221002.

It is an interprime number because it is at equal distance from previous prime (20012211097) and next prime (20012211143).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×200122111202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20012211096 and 20012211105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3787552 + ... + 3792831.

Almost surely, 220012211120 is an apocalyptic number.

20012211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012211120 is an abundant number, since it is smaller than the sum of its proper divisors (47665457232).

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

20012211120 is a wasteful number, since it uses less digits than its factorization.

20012211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580410 (or 7580404 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20012211120 its reverse (2111221002), we get a palindrome (22123432122).

It can be divided in two parts, 20012 and 211120, that added together give a palindrome (231132).

The spelling of 20012211120 in words is "twenty billion, twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 7580383 15160766 22741149 30321532 37901915 45482298 60643064 75803830 83384213 90964596 113705745 121286128 151607660 166768426 181929192 227411490 250152639 303215320 333536852 363858384 416921065 454822980 500305278 606430640 667073704 833842130 909645960 1000610556 1250763195 1334147408 1667684260 1819291920 2001221112 2501526390 3335368520 4002442224 5003052780 6670737040 10006105560 20012211120