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12201120002000 = 245330112026091
BaseRepresentation
bin1011000110001100101101…
…1011000110111111010000
31121012102020000211210012102
42301203023123012333100
53044400343210031000
641541041145415532
72366334061560326
oct261431333067720
947172200753172
1012201120002000
113984514182096
1214507aa49a5a8
136a6739a73a27
14302774727d16
151625a487c3d5
hexb18cb6c6fd0

12201120002000 has 80 divisors (see below), whose sum is σ = 29512120906944. Its totient is φ = 4878824720000.

The previous prime is 12201120001937. The next prime is 12201120002009. The reversal of 12201120002000 is 20002110221.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201120002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5008955 + ... + 7035045.

Almost surely, 212201120002000 is an apocalyptic number.

12201120002000 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 12201120002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756060453472).

12201120002000 is an abundant number, since it is smaller than the sum of its proper divisors (17311000904944).

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

12201120002000 is a wasteful number, since it uses less digits than its factorization.

12201120002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029125 (or 2029109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12201120002000 its reverse (20002110221), we get a palindrome (12221122112221).

The spelling of 12201120002000 in words is "twelve trillion, two hundred one billion, one hundred twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3011 6022 12044 15055 24088 30110 48176 60220 75275 120440 150550 240880 301100 376375 602200 752750 1204400 1505500 2026091 3011000 4052182 6022000 8104364 10130455 16208728 20260910 32417456 40521820 50652275 81043640 101304550 162087280 202609100 253261375 405218200 506522750 810436400 1013045500 2026091000 4052182000 6100560001 12201120002 24402240004 30502800005 48804480008 61005600010 97608960016 122011200020 152514000025 244022400040 305028000050 488044800080 610056000100 762570000125 1220112000200 1525140000250 2440224000400 3050280000500 6100560001000 12201120002000