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12002110211124 = 223311127509915601
BaseRepresentation
bin1010111010100111010110…
…0001000000010000110100
31120111101112200210221021000
42232221311201000100310
53033120310203223444
641305405431123300
72346060323345355
oct256516541002064
946441480727230
1012002110211124
113908080357740
12141a10a513530
13690a42944417
142d6c95d65d2c
1515c308303469
hexaea75840434

12002110211124 has 192 divisors, whose sum is σ = 34221551616000. Its totient is φ = 3607426368000.

The previous prime is 12002110211123. The next prime is 12002110211137. The reversal of 12002110211124 is 42111201120021.

12002110211124 is a `hidden beast` number, since 120 + 0 + 211 + 0 + 211 + 124 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12002110211097 and 12002110211106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002110211123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769308924 + ... + 769324524.

It is an arithmetic number, because the mean of its divisors is an integer number (178237248000).

Almost surely, 212002110211124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002110211124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17110775808000).

12002110211124 is an abundant number, since it is smaller than the sum of its proper divisors (22219441404876).

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

12002110211124 is a wasteful number, since it uses less digits than its factorization.

12002110211124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20851 (or 20843 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12002110211124 its reverse (42111201120021), we get a palindrome (54113311331145).

The spelling of 12002110211124 in words is "twelve trillion, two billion, one hundred ten million, two hundred eleven thousand, one hundred twenty-four".