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12020112111120 = 2435178728026749
BaseRepresentation
bin1010111011101010011010…
…0000110011011000010000
31120120010000021120012120220
42232322212200303120100
53033414142200023440
641321544022233040
72350265404103001
oct256724640633020
946503007505526
1012020112111120
113914778a17643
1214216b3285780
1369265138b759
142d7ac2b291a8
1515ca0d9348d0
hexaeea6833610

12020112111120 has 80 divisors (see below), whose sum is σ = 37283200776000. Its totient is φ = 3203569403392.

The previous prime is 12020112111113. The next prime is 12020112111121. The reversal of 12020112111120 is 2111121102021.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12020112111120.

It is not an unprimeable number, because it can be changed into a prime (12020112111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13584495 + ... + 14442254.

It is an arithmetic number, because the mean of its divisors is an integer number (466040009700).

Almost surely, 212020112111120 is an apocalyptic number.

12020112111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020112111120 is an abundant number, since it is smaller than the sum of its proper divisors (25263088664880).

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

12020112111120 is a wasteful number, since it uses less digits than its factorization.

12020112111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28028552 (or 28028546 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12020112111120 its reverse (2111121102021), we get a palindrome (14131233213141).

The spelling of 12020112111120 in words is "twelve trillion, twenty billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1787 3574 5361 7148 8935 10722 14296 17870 21444 26805 28592 35740 42888 53610 71480 85776 107220 142960 214440 428880 28026749 56053498 84080247 112106996 140133745 168160494 224213992 280267490 336320988 420401235 448427984 560534980 672641976 840802470 1121069960 1345283952 1681604940 2242139920 3363209880 6726419760 50083800463 100167600926 150251401389 200335201852 250419002315 300502802778 400670403704 500838004630 601005605556 751257006945 801340807408 1001676009260 1202011211112 1502514013890 2003352018520 2404022422224 3005028027780 4006704037040 6010056055560 12020112111120