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12100022011120 = 2459710861143567
BaseRepresentation
bin1011000000010100000110…
…0000111000010011110000
31120211202021100010201121211
42300011001200320103300
53041221321113323440
641422401240525504
72356124553044251
oct260050140702360
946752240121554
1012100022011120
113945654a8420a
121435094a80894
1369a047937c54
142db90392cb28
1515eb39056eea
hexb01418384f0

12100022011120 has 80 divisors (see below), whose sum is σ = 28425392408448. Its totient is φ = 4789637406720.

The previous prime is 12100022011093. The next prime is 12100022011139. The reversal of 12100022011120 is 2111022000121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12100022011120.

It is a congruent number.

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, 84209577 + ... + 84353143.

Almost surely, 212100022011120 is an apocalyptic number.

12100022011120 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 12100022011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212696204224).

12100022011120 is an abundant number, since it is smaller than the sum of its proper divisors (16325370397328).

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

12100022011120 is a wasteful number, since it uses less digits than its factorization.

12100022011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154538 (or 154532 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12100022011120 its reverse (2111022000121), we get a palindrome (14211044011241).

The spelling of 12100022011120 in words is "twelve trillion, one hundred billion, twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 10861 21722 43444 54305 86888 108610 143567 173776 217220 287134 434440 574268 717835 868880 1053517 1148536 1435670 2107034 2297072 2871340 4214068 5267585 5742680 8428136 10535170 11485360 13925999 16856272 21070340 27851998 42140680 55703996 69629995 84281360 111407992 139259990 222815984 278519980 557039960 1114079920 1559281187 3118562374 6237124748 7796405935 12474249496 15592811870 24948498992 31185623740 62371247480 124742494960 151250275139 302500550278 605001100556 756251375695 1210002201112 1512502751390 2420004402224 3025005502780 6050011005560 12100022011120