Search a number
-
+
12273184140000 = 253547192611327
BaseRepresentation
bin1011001010011001001011…
…0001111110101011100000
31121110022020022020022002120
42302212102301332223200
53102040440114440000
642034120054144240
72404464641622120
oct262462261765340
947408208208076
1012273184140000
113a02034538633
121462760652080
136b0482a30cc4
1430604d532c80
151643c12be6a0
hexb2992c7eae0

12273184140000 has 1440 divisors, whose sum is σ = 49391964711936. Its totient is φ = 2612113920000.

The previous prime is 12273184139999. The next prime is 12273184140143. The reversal of 12273184140000 is 4148137221.

12273184140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9248819337 + ... + 9248820663.

Almost surely, 212273184140000 is an apocalyptic number.

12273184140000 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 12273184140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24695982355968).

12273184140000 is an abundant number, since it is smaller than the sum of its proper divisors (37118780571936).

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

12273184140000 is a wasteful number, since it uses less digits than its factorization.

12273184140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 12273184140000 in words is "twelve trillion, two hundred seventy-three billion, one hundred eighty-four million, one hundred forty thousand".