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1220001111120 = 2435111531301843
BaseRepresentation
bin10001110000001101101…
…110111001110001010000
311022122000222022211101210
4101300031232321301100
5124442030241023440
62332243305500120
7154066523225241
oct21601556716120
94278028284353
101220001111120
114304439049a0
1217853baa1640
138b0792912bc
1443096a1ccc8
1521b05ac5a80
hex11c0dbb9c50

1220001111120 has 160 divisors (see below), whose sum is σ = 4128530471424. Its totient is φ = 295563686400.

The previous prime is 1220001111113. The next prime is 1220001111137. The reversal of 1220001111120 is 211111000221.

It is a super-2 number, since 2×12200011111202 (a number of 25 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 = 1220001111096 and 1220001111105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3890919 + ... + 4192761.

Almost surely, 21220001111120 is an apocalyptic number.

1220001111120 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 1220001111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064265235712).

1220001111120 is an abundant number, since it is smaller than the sum of its proper divisors (2908529360304).

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

1220001111120 is a wasteful number, since it uses less digits than its factorization.

1220001111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303401 (or 303395 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1220001111120 its reverse (211111000221), we get a palindrome (1431112111341).

The spelling of 1220001111120 in words is "one trillion, two hundred twenty billion, one million, one 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 1531 2640 3062 4593 6124 7655 9186 12248 15310 16841 18372 22965 24496 30620 33682 36744 45930 50523 61240 67364 73488 84205 91860 101046 122480 134728 168410 183720 202092 252615 269456 301843 336820 367440 404184 505230 603686 673640 808368 905529 1010460 1207372 1347280 1509215 1811058 2020920 2414744 3018430 3320273 3622116 4041840 4527645 4829488 6036860 6640546 7244232 9055290 9960819 12073720 13281092 14488464 16601365 18110580 19921638 24147440 26562184 33202730 36221160 39843276 49804095 53124368 66405460 72442320 79686552 99608190 132810920 159373104 199216380 265621840 398432760 462121633 796865520 924243266 1386364899 1848486532 2310608165 2772729798 3696973064 4621216330 5083337963 5545459596 6931824495 7393946128 9242432660 10166675926 11090919192 13863648990 15250013889 18484865320 20333351852 22181838384 25416689815 27727297980 30500027778 36969730640 40666703704 50833379630 55454595960 61000055556 76250069445 81333407408 101666759260 110909191920 122000111112 152500138890 203333518520 244000222224 305000277780 406667037040 610000555560 1220001111120