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12203434134000 = 243353713182951
BaseRepresentation
bin1011000110010101010101…
…0110110100100111110000
31121012122012022021212112000
42301211111112310213300
53044420113114242000
641542102533334000
72366445321431004
oct261452526644760
947178168255460
1012203434134000
1139854a147577a
121451135497300
136a6a183263c5
14302913bd4704
1516268cae1000
hexb19555b49f0

12203434134000 has 320 divisors, whose sum is σ = 44331136911360. Its totient is φ = 3208413600000.

The previous prime is 12203434133987. The next prime is 12203434134037. The reversal of 12203434134000 is 43143430221.

12203434134000 is a `hidden beast` number, since 1 + 2 + 203 + 4 + 3 + 413 + 40 + 0 + 0 = 666.

12203434134000 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2242525 + ... + 5425475.

It is an arithmetic number, because the mean of its divisors is an integer number (138534802848).

Almost surely, 212203434134000 is an apocalyptic number.

12203434134000 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 12203434134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165568455680).

12203434134000 is an abundant number, since it is smaller than the sum of its proper divisors (32127702777360).

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

12203434134000 is a wasteful number, since it uses less digits than its factorization.

12203434134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183054 (or 3183032 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12203434134000 its reverse (43143430221), we get a palindrome (12246577564221).

The spelling of 12203434134000 in words is "twelve trillion, two hundred three billion, four hundred thirty-four million, one hundred thirty-four thousand".