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12100211021120 = 26539795247253
BaseRepresentation
bin1011000000010100110011…
…0001111001010101000000
31120211202202111210102121012
42300011030301321111000
53041222213010133440
641422432112020052
72356132336436645
oct260051461712500
946752674712535
1012100211021120
113945741740222
121435128231628
1369a077b44ba1
142db920a8ddcc
1515eb4a93ee65
hexb014cc79540

12100211021120 has 56 divisors (see below), whose sum is σ = 28886206204104. Its totient is φ = 4827892709376.

The previous prime is 12100211021081. The next prime is 12100211021123. The reversal of 12100211021120 is 2112011200121.

It can be written as a sum of positive squares in 4 ways, for example, as 5440425630784 + 6659785390336 = 2332472^2 + 2580656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12100211021095 and 12100211021104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100211021123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47496587 + ... + 47750666.

Almost surely, 212100211021120 is an apocalyptic number.

12100211021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100211021120 is an abundant number, since it is smaller than the sum of its proper divisors (16785995182984).

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

12100211021120 is an equidigital number, since it uses as much as digits as its factorization.

12100211021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95247667 (or 95247657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12100211021120 its reverse (2112011200121), we get a palindrome (14212222221241).

The spelling of 12100211021120 in words is "twelve trillion, one hundred billion, two hundred eleven million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 397 794 1588 1985 3176 3970 6352 7940 12704 15880 25408 31760 63520 127040 95247253 190494506 380989012 476236265 761978024 952472530 1523956048 1904945060 3047912096 3809890120 6095824192 7619780240 15239560480 30479120960 37813159441 75626318882 151252637764 189065797205 302505275528 378131594410 605010551056 756263188820 1210021102112 1512526377640 2420042204224 3025052755280 6050105510560 12100211021120