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22211201011120 = 24511216191417261
BaseRepresentation
bin1010000110011011100101…
…01111110000110110110000
32220122100222210021100202221
411003031302233300312300
510402402014424323440
6115123403533450424
74451464160345032
oct503156257606660
986570883240687
1022211201011120
117093798a20500
1225a881a340a14
13c516796111b4
1456b056665c52
15287b6e830d4a
hex143372bf0db0

22211201011120 has 120 divisors (see below), whose sum is σ = 56797568316720. Its totient is φ = 8071805913600.

The previous prime is 22211201011063. The next prime is 22211201011171. The reversal of 22211201011120 is 2111010211222.

It is a super-2 number, since 2×222112010111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22211201011094 and 22211201011103.

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, 14963290 + ... + 16380550.

It is an arithmetic number, because the mean of its divisors is an integer number (473313069306).

Almost surely, 222211201011120 is an apocalyptic number.

22211201011120 is a gapful number since it is divisible by the number (20) 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 22211201011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28398784158360).

22211201011120 is an abundant number, since it is smaller than the sum of its proper divisors (34586367305600).

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

22211201011120 is a wasteful number, since it uses less digits than its factorization.

22211201011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418915 (or 1418898 counting only the distinct ones).

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

Adding to 22211201011120 its reverse (2111010211222), we get a palindrome (24322211222342).

The spelling of 22211201011120 in words is "twenty-two trillion, two hundred eleven billion, two hundred one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1619 1936 2420 3238 4840 6476 8095 9680 12952 16190 17809 25904 32380 35618 64760 71236 89045 129520 142472 178090 195899 284944 356180 391798 712360 783596 979495 1417261 1424720 1567192 1958990 2834522 3134384 3917980 5669044 7086305 7835960 11338088 14172610 15589871 15671920 22676176 28345220 31179742 56690440 62359484 77949355 113380880 124718968 155898710 171488581 249437936 311797420 342977162 623594840 685954324 857442905 1247189680 1371908648 1714885810 2294545559 2743817296 3429771620 4589091118 6859543240 9178182236 11472727795 13719086480 18356364472 22945455590 25240001149 36712728944 45890911180 50480002298 91781822360 100960004596 126200005745 183563644720 201920009192 252400011490 277640012639 403840018384 504800022980 555280025278 1009600045960 1110560050556 1388200063195 2019200091920 2221120101112 2776400126390 4442240202224 5552800252780 11105600505560 22211201011120