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1222120211120 = 24571444148449
BaseRepresentation
bin10001110010001100000…
…010101000001010110000
311022211111122210021002222
4101302030002220022300
5130010400233223440
62333233445300212
7154203164252324
oct21621402501260
94284448707088
101222120211120
11431330aa9106
12178a31704668
138b326308a23
144321823b984
1521bcbb622b5
hex11c8c0a82b0

1222120211120 has 80 divisors (see below), whose sum is σ = 2882157940800. Its totient is φ = 481844428800.

The previous prime is 1222120211083. The next prime is 1222120211173. The reversal of 1222120211120 is 211120212221.

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

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, 25200656 + ... + 25249104.

It is an arithmetic number, because the mean of its divisors is an integer number (36026974260).

Almost surely, 21222120211120 is an apocalyptic number.

1222120211120 is a gapful number since it is divisible by the number (10) 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 1222120211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441078970400).

1222120211120 is an abundant number, since it is smaller than the sum of its proper divisors (1660037729680).

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

1222120211120 is a wasteful number, since it uses less digits than its factorization.

1222120211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52974 (or 52968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1222120211120 its reverse (211120212221), we get a palindrome (1433240423341).

The spelling of 1222120211120 in words is "one trillion, two hundred twenty-two billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 4441 5680 8882 17764 22205 35528 44410 48449 71056 88820 96898 177640 193796 242245 315311 355280 387592 484490 630622 775184 968980 1261244 1576555 1937960 2522488 3153110 3439879 3875920 5044976 6306220 6879758 12612440 13759516 17199395 25224880 27519032 34398790 55038064 68797580 137595160 215162009 275190320 430324018 860648036 1075810045 1721296072 2151620090 3442592144 4303240180 8606480360 15276502639 17212960720 30553005278 61106010556 76382513195 122212021112 152765026390 244424042224 305530052780 611060105560 1222120211120