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12100002201120 = 2535172935060899
BaseRepresentation
bin1011000000010100000001…
…0101010011111000100000
31120211202012221212021102010
42300011000111103320200
53041221301030413440
641422355252152520
72356124222466201
oct260050025237040
946752187767363
1012100002201120
113945644883709
12143508a308740
1369a0437c0162
142db9010535a8
1515eb37442580
hexb0140553e20

12100002201120 has 192 divisors, whose sum is σ = 40494811593600. Its totient is φ = 3026497978368.

The previous prime is 12100002201113. The next prime is 12100002201173. The reversal of 12100002201120 is 2110220000121.

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 = 12100002201096 and 12100002201105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139570 + ... + 4921329.

It is an arithmetic number, because the mean of its divisors is an integer number (210910477050).

Almost surely, 212100002201120 is an apocalyptic number.

12100002201120 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 12100002201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20247405796800).

12100002201120 is an abundant number, since it is smaller than the sum of its proper divisors (28394809392480).

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

12100002201120 is a wasteful number, since it uses less digits than its factorization.

12100002201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061227 (or 5061219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12100002201120 its reverse (2110220000121), we get a palindrome (14210222201241).

The spelling of 12100002201120 in words is "twelve trillion, one hundred billion, two million, two hundred one thousand, one hundred twenty".