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21121200111220 = 2251129778933233
BaseRepresentation
bin1001100110101101010011…
…01000010011111001110100
32202210011111202021111201221
410303112221220103321310
510232022204212024340
6112530540111400124
74306646012513566
oct463265150237164
982704452244657
1021121200111220
1168034a591a400
12245151b223044
13ba294a299901
145303b3169336
15269626b1144a
hex1335a9a13e74

21121200111220 has 72 divisors (see below), whose sum is σ = 48803222131272. Its totient is φ = 7672574300160.

The previous prime is 21121200111161. The next prime is 21121200111239. The reversal of 21121200111220 is 2211100212112.

It can be written as a sum of positive squares in 4 ways, for example, as 2568435737956 + 18552764373264 = 1602634^2 + 4307292^2 .

It is a super-2 number, since 2×211212001112202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121200111194 and 21121200111203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2102277 + ... + 6830956.

It is an arithmetic number, because the mean of its divisors is an integer number (677822529601).

Almost surely, 221121200111220 is an apocalyptic number.

21121200111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121200111220 is an abundant number, since it is smaller than the sum of its proper divisors (27682022020052).

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

21121200111220 is a wasteful number, since it uses less digits than its factorization.

21121200111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934241 (or 8934228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21121200111220 its reverse (2211100212112), we get a palindrome (23332300323332).

The spelling of 21121200111220 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 977 1210 1954 2420 3908 4885 9770 10747 19540 21494 42988 53735 107470 118217 214940 236434 472868 591085 1182170 2364340 8933233 17866466 35732932 44666165 89332330 98265563 178664660 196531126 393062252 491327815 982655630 1080921193 1965311260 2161842386 4323684772 5404605965 8727768641 10809211930 17455537282 21618423860 34911074564 43638843205 87277686410 96005455051 174555372820 192010910102 384021820204 480027275255 960054550510 1056060005561 1920109101020 2112120011122 4224240022244 5280300027805 10560600055610 21121200111220