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12100110000120 = 23325139637937907
BaseRepresentation
bin1011000000010100011011…
…0000100001111111111000
31120211202111110201000211200
42300011012300201333320
53041222011130000440
641422414102454200
72356130001663042
oct260050660417770
946752443630750
1012100110000120
11394569a71169a
1214350ba434360
1369a05cc3474c
142db9114b4a92
1515eb41b37c30
hexb0146c21ff8

12100110000120 has 192 divisors, whose sum is σ = 39615527952000. Its totient is φ = 3202895672064.

The previous prime is 12100110000071. The next prime is 12100110000163. The reversal of 12100110000120 is 2100001100121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319186207 + ... + 319224113.

It is an arithmetic number, because the mean of its divisors is an integer number (206330874750).

Almost surely, 212100110000120 is an apocalyptic number.

12100110000120 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 12100110000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807763976000).

12100110000120 is an abundant number, since it is smaller than the sum of its proper divisors (27515417951880).

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

12100110000120 is a wasteful number, since it uses less digits than its factorization.

12100110000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44442 (or 44435 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12100110000120 its reverse (2100001100121), we get a palindrome (14200111100241).

The spelling of 12100110000120 in words is "twelve trillion, one hundred billion, one hundred ten million, one hundred twenty", and thus it is an aban number.