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12231832482000 = 2432531733928013
BaseRepresentation
bin1011000111111111001000…
…0001111011000011010000
31121022100111102210102101200
42301333302001323003100
53100401243103411000
642003120512431200
72401502132416335
oct261776201730320
947270442712350
1012231832482000
11399654460996a
12145673bb48500
136a95c2927811
1430404963898c
151632a0ce1500
hexb1ff207b0d0

12231832482000 has 240 divisors, whose sum is σ = 42968670842448. Its totient is φ = 3242966707200.

The previous prime is 12231832481983. The next prime is 12231832482011. The reversal of 12231832482000 is 28423813221.

12231832482000 is a `hidden beast` number, since 12 + 2 + 318 + 324 + 8 + 2 + 0 + 0 + 0 = 666.

12231832482000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 200313534096 + 12031518947904 = 447564^2 + 3468648^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149994 + ... + 5078006.

Almost surely, 212231832482000 is an apocalyptic number.

12231832482000 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 12231832482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21484335421224).

12231832482000 is an abundant number, since it is smaller than the sum of its proper divisors (30736838360448).

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

12231832482000 is a wasteful number, since it uses less digits than its factorization.

12231832482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928215 (or 3928196 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12231832482000 in words is "twelve trillion, two hundred thirty-one billion, eight hundred thirty-two million, four hundred eighty-two thousand".