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12001132212300 = 223252711254967939
BaseRepresentation
bin1010111010100011101100…
…1110001111000001001100
31120111022000112112110002100
42232220323032033001030
53033111304321243200
641305124413155100
72346024146450010
oct256507316170114
946438015473070
1012001132212300
1139077192a0750
121419a96a8ba90
1369091813b4aa
142d6c02104540
1515c29c51ad00
hexaea3b38f04c

12001132212300 has 432 divisors, whose sum is σ = 46918059552000. Its totient is φ = 2492726745600.

The previous prime is 12001132212281. The next prime is 12001132212331. The reversal of 12001132212300 is 321223110021.

12001132212300 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 132 + 212 + 300 = 666.

12001132212300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 176611731 + ... + 176679669.

Almost surely, 212001132212300 is an apocalyptic number.

12001132212300 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 12001132212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459029776000).

12001132212300 is an abundant number, since it is smaller than the sum of its proper divisors (34916927339700).

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

12001132212300 is a wasteful number, since it uses less digits than its factorization.

12001132212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70526 (or 70516 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12001132212300 its reverse (321223110021), we get a palindrome (12322355322321).

The spelling of 12001132212300 in words is "twelve trillion, one billion, one hundred thirty-two million, two hundred twelve thousand, three hundred".